Question

Use cross products to solve the proportion.

[ {4}/{3} = {x}/{12} ]

1. Use cross products: (4 times 12 = 3x)
2. Multiply: (48 = 3x)
3. Divide both sides by 3: (x = underline{16})

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Answer 1

By applying the cross products method to the proportion 4/3 = x/12, multiplying diagonally gives 48 = 3x. Solving for x by dividing both sides by 3 yields x = 16.

Step-by-step explanation:

Given Proportion:

4/3 = x/12

Cross Products Method:

Multiply the terms diagonally.

4 * 12 = 3x

48 = 3x

Isolate x:

Divide both sides by 3 to solve for x.

48/3 = 3x/3

16 = x

The proportion 4/3 = x/12 was initially solved using the cross products method, resulting in the equation 48 = 3x. By dividing both sides by 3, the value of x was isolated, giving the solution x = 16.

When solving proportions, the cross products method proves handy in finding unknown values.This method facilitates the resolution of unknowns within proportions by establishing an equation and systematically solving for the variable, providing a clear path to determine the missing value.