# How do you use cross products to solve 6/9.6=9/d?

Jul 22, 2017

$d = 14.4$

#### Explanation:

$\frac{6}{9.6} = \frac{9}{d}$

$6 d = 9 \cdot 9.6$
[bring up the denominator to opposite side]

[you are actually multiplying both side with the product of the denominators to cancel them off]

$d = \frac{86.4}{6}$

$d = 14.4$

Jul 22, 2017

See a solution process below:

#### Explanation:

Cross Products or Cross Multiply means to do the following:

Substituting for this problem gives:

$\frac{6}{9.6} = \frac{9}{d}$

$6 \times d = 9.6 \times 9$

$6 d = 86.4$

Now, we can divide each side of the equation by $\textcolor{red}{6}$ to solve for $d$ while keeping the equation balanced:

$\frac{6 d}{\textcolor{red}{6}} = \frac{86.4}{\textcolor{red}{6}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{6}}} d}{\cancel{\textcolor{red}{6}}} = 14.4$

$d = 14.4$