Question

solve the following proportion for v.
\\(\frac{v}{4} = \frac{17}{11}\\)
round your answer to the nearest tenth.
\\(v = \square\\)

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion \(\frac{v}{4}=\frac{17}{11}\), we use the cross - multiplication property of proportions. If \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\).
Applying this to our proportion, we get \(v\times11=4\times17\).

Step2: Simplify the right - hand side

Calculate \(4\times17 = 68\). So our equation becomes \(11v = 68\).

Step3: Solve for v

To isolate \(v\), we divide both sides of the equation \(11v = 68\) by 11. So \(v=\frac{68}{11}\).

Step4: Round to the nearest tenth

Calculate \(\frac{68}{11}\approx6.1818\). Rounding to the nearest tenth, we look at the hundredth place. The digit in the hundredth place is 8, which is greater than 5. So we round up the tenths place. \(6.1818\approx6.2\).

Answer:

\(v\approx6.2\)