Answer
The solution of the equation $\frac{x}{17}=\frac{14.6}{38.5}$ is $x=6.45$.
Work Step by Step
$\begin{align}
& \frac{x}{17}=\frac{14.6}{38.5} \\
& x=\frac{14.6}{38.5}\left( 17 \right) \\
& x=6.446
\end{align}$
Since the thousandth digit is greater than $5$, the hundredth digit will be raised by $1$.
Therefore, the solution up to three significant digits will be $x=6.45$.
