using cross products lesson 6-4. cross products when you have a proportion (two equal ratios), then...
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Using Cross Products
Lesson 6-4
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Cross Products
• When you have a proportion (two equal ratios), then you have equivalent cross products.
• Find the cross product by multiplying the denominator of each ratio by the numerator of the other ratio.
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Example: Do the ratios form a proportion? Check using cross products.
412
, 39
12 x 3 = 369 x 4 = 36
These two ratios DO form a proportion because their cross products are the same.
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Example 2
58
, 23
8 x 2 = 163 x 5 = 15
No, these two ratios DO NOT form a proportion, because their cross products are different.
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Solving a Proportion Using Cross Products
• Use the cross products to create an equation.
• Solve the equation for the variable using the inverse operation.
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Example: Solve the Proportion
k17
=2068
Start with the variable.
=68k 17(20)
Simplify.
68k = 340
Now we have an equation. To get the k by itself, divide both sides by 68.
68 68
k = 5
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Homework Time