Question
Solve for \( j \) in the proportion. \( \frac{63}{84}=\frac{j}{24} \) \( j=\square \)
Ask by Savage Newton. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( j = 18 \)
Solution
To solve for \( j \) in the proportion:
\[
\frac{63}{84} = \frac{j}{24}
\]
**Step 1: Cross-Multiply**
Multiply the numerator of one fraction by the denominator of the other fraction:
\[
63 \times 24 = 84 \times j
\]
\[
1512 = 84j
\]
**Step 2: Solve for \( j \)**
Divide both sides of the equation by 84 to isolate \( j \):
\[
j = \frac{1512}{84}
\]
\[
j = 18
\]
**Answer:**
\[
j = 18
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To solve for \( j \) in the proportion \( \frac{63}{84}=\frac{j}{24} \), you can use cross-multiplication. This means multiplying the numerator of one fraction by the denominator of the other fraction. So, we have: \( 63 \times 24 = 84 \times j \). Calculating \( 63 \times 24 \) gives you \( 1512 \). Now, your equation looks like: \( 1512 = 84j \). To find \( j \), divide both sides by 84: \( j = \frac{1512}{84} \). Calculating that gives you \( j = 18 \). So, \( j = 18 \).
