Question
Solve the proportion. \[ \frac{x}{51}=\frac{8}{17} \] Ox=32 \begin{tabular}{l} Ox= \\ \hline\( x=\frac{867}{8} \) \\ \( O x=12 \) \\ \( O x=24 \)\end{tabular}
Ask by Cummings Graham. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
x = 24
Solution
We are given the proportion:
x/51 = 8/17
To solve, you can cross multiply:
17·x = 51·8
Calculating the right side:
17·x = 408
Now, divide both sides by 17:
x = 408/17
Since 408 divided by 17 equals 24, we have:
x = 24
Thus, the solution to the proportion is x = 24.
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Simplify this solution Beyond the Answer
To solve the proportion \( \frac{x}{51}=\frac{8}{17} \), you can start by cross-multiplying. This gives you: \[ 17x = 8 \cdot 51 \] Calculating \( 8 \cdot 51 \): \[ 8 \cdot 51 = 408 \] So, you have: \[ 17x = 408 \] Now, divide both sides by 17 to solve for \( x \): \[ x = \frac{408}{17} = 24 \] So, the correct answer is \( O x=24 \). To double-check, substitute \( x = 24 \) back into the original proportion: \[ \frac{24}{51} \text{ and } \frac{8}{17} \] Cross-multiplying gives: \[ 24 \cdot 17 = 408 \text{ and } 8 \cdot 51 = 408 \] Since both sides are equal, you have verified that \( x = 24 \) is indeed correct!
