\frac37 = \frac9x - jntua results
Solving the Proportion: \frac{3}{7} = \frac{9}{x}
Solving the Proportion: \frac{3}{7} = \frac{9}{x}
Understanding how to solve equations involving fractions is a fundamental skill in algebra. One common type of problem students encounter is solving proportions—statements that two ratios are equal. In this article, we’ll walk through how to solve the equation:
\[
\frac{3}{7} = \frac{9}{x}
\]
Understanding the Context
This equation presents a proportion where a fraction with numerator 3 and denominator 7 equals another fraction with numerator 9 and unknown denominator \( x \). Let’s break down the steps to find \( x \) and explain the logic behind it.
What Is a Proportion?
A proportion sets two fractions equal to each other, meaning the ratio on the left matches the ratio on the right. The equation:
\[
\frac{a}{b} = \frac{c}{d}
\]
Image Gallery
Key Insights
can be solved by cross-multiplication, so long as \( b \) and \( d \) are not zero.
Step-by-Step Solution
Start with the given equation:
\[
\frac{3}{7} = \frac{9}{x}
\]
To eliminate denominators, cross-multiply:
🔗 Related Articles You Might Like:
📰 What Chamoy Pickle Does to Your Senses You’ll Never Forget 📰 Uncover the Hidden Magic of Chamoy Pickle—Crazy Flavor Blast Inside! 📰 Chamoy Pickle Secrets Are Shocking—Why It’s the Taste Bomb Everyone Craves 📰 Womens Button Down Shirt 📰 Womens Camo Pants 📰 Womens Chelsea Boots 📰 Womens Christmas Pajamas 📰 Womens Clogs 📰 Womens Combat Boots 📰 Womens Corduroy Pants 📰 Womens Essentials Hoodie 📰 Womens Favorite Secret 1980S Makeup That Turns Any Face Into A Retro Star 📰 Womens Festive Pjs 📰 Womens Gloves 📰 Womens Gold Shoes Heels 📰 Womens Jackets Fur 📰 Womens Khaki Pants 📰 Womens Oxford ShoesFinal Thoughts
\[
3 \cdot x = 7 \cdot 9
\]
Simplify both sides:
\[
3x = 63
\]
Now divide both sides by 3 to isolate \( x \):
\[
x = \frac{63}{3} = 21
\]
Final Answer
\[
\boxed{x = 21}
\]
This means that when \( x = 21 \), the proportion \(\frac{3}{7} = \frac{9}{21}\) holds true.
Why This Works: A Quick Check
Plug \( x = 21 \) back into the original proportion:
