Solve proportions using cross products 32/12=64/k
To solve the proportion using cross products, you need to multiply the numerator of the first fraction by the denominator of the second fraction and set it equal to the product of the denominator of the first fraction and the numerator of the second fraction:
(32)(k) = (12)(64)
Now, simplify the equation:
32k = 768
Finally, divide both sides of the equation by 32 to solve for k:
k = 24
To solve the proportion 32/12 = 64/k using cross products, you can follow these steps:
Step 1: Cross-multiply the given ratios.
32 * k = 12 * 64
Step 2: Simplify both sides of the equation.
32k = 768
Step 3: Divide both sides of the equation by 32 to isolate the variable.
k = 768 / 32
Step 4: Simplify the result.
k = 24
Therefore, the value of k that satisfies the proportion is 24.
To solve proportions using cross products, you can set up an equation involving the cross products of the two ratios. In this case, we have:
32/12 = 64/k
To find the unknown value, we'll cross multiply, which means multiplying the numerator of the first ratio (32) with the denominator of the second ratio (k), and then multiplying the denominator of the first ratio (12) with the numerator of the second ratio (64). The equation becomes:
32 * k = 12 * 64
Simplifying both sides of the equation:
32k = 768
Now, we can solve for k by dividing both sides of the equation by 32:
k = 768 / 32
k = 24
So, the value of k that satisfies the proportion is 24.