Question

solve the following proportion for v.
\\(\frac{v}{9} = \frac{3}{17}\\)
round your answer to the nearest tenth.
\\(v = \square\\)

Explanation:

Step1: Cross - multiply to solve for \( v \)

To solve the proportion \(\frac{v}{9}=\frac{3}{17}\), we use the cross - multiplication property of proportions. If \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So, we have \(v\times17=9\times3\).

Step2: Calculate the right - hand side and solve for \( v \)

First, calculate \(9\times3 = 27\). So the equation becomes \(17v = 27\). Then, to find \(v\), we divide both sides of the equation by 17: \(v=\frac{27}{17}\approx1.6\) (rounded to the nearest tenth).

Answer:

\(v\approx1.6\)