Section 6.4 Ration, Proportion, and Variation
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Section 6.4 Ration, Proportion, and Variation
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1. 6/15/2012 Section 6.4 1 Section 6.4Ration, Proportion, and Variation Objectives
Solve proportions.
Solve problems using proportions.
Solve direct variation problems.
Solve inverse variation problems.
2. 6/15/2012 Section 6.4 2 Proportions Ratio compares quantities by division.
Example: a group contains 60 women and 30 men. The ratio of women to men is:
Proportion is a statement that says two ratios are equal:
3. 6/15/2012 Section 6.4 3 Example 1The Cross-Products Principle for Proportions If a = c then ad = bc. (b ? 0 and d ? 0) b d The cross products ad and bc are equal. Solve this proportion for x:
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