Question
Solve the proportion \[ \begin{array}{l}\frac{7}{21}=\frac{b}{18} \\ b=[?]\end{array} \]
Ask by Vaughn Christensen. in the United States
Jan 20,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( b = 6 \)
Solution
To solve the proportion:
\[
\frac{7}{21} = \frac{b}{18}
\]
**Step 1: Cross-Multiply**
Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the products equal to each other.
\[
7 \times 18 = 21 \times b
\]
**Step 2: Calculate the Products**
\[
126 = 21b
\]
**Step 3: Solve for \( b \)**
Divide both sides of the equation by 21 to isolate \( b \):
\[
b = \frac{126}{21} = 6
\]
**Answer:**
\[
b = 6
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To solve the proportion \(\frac{7}{21}=\frac{b}{18}\), we can cross-multiply. This means we'll multiply \(7\) by \(18\) and \(21\) by \(b\): \[ 7 \times 18 = 21 \times b \] Calculating \(7 \times 18\): \[ 7 \times 18 = 126 \] So the equation becomes: \[ 126 = 21b \] Now, we'll divide both sides by \(21\) to solve for \(b\): \[ b = \frac{126}{21} \] Calculating this gives: \[ b = 6 \] Thus, the value of \(b\) is \(6\).
