Summary: Solving Proportions and their Applications
Key Concepts
- Proportion
- A proportion is an equation of the form [latex]\frac{a}{b}=\frac{c}{d}[/latex] , where [latex]b\ne 0[/latex] , [latex]d\ne 0[/latex] .The proportion states two ratios or rates are equal. The proportion is read " [latex]a[/latex] is to [latex]b[/latex] , as [latex]c[/latex] is to [latex]d[/latex] ".
- Cross Products of a Proportion
- For any proportion of the form [latex]\frac{a}{b}=\frac{c}{d}[/latex] , where [latex]b\ne 0[/latex] , its cross products are equal: [latex]a\cdot d=b\cdot c[/latex] .
- Percent Proportion
- The amount is to the base as the percent is to 100. [latex]\frac{\text{amount}}{\text{base}}=\frac{\text{percent}}{100}[/latex]
Glossary
- proportion
- A proportion is an equation of the form [latex]\frac{a}{b}=\frac{c}{d}[/latex] , where [latex]b\ne 0[/latex] , [latex]d\ne 0[/latex] .The proportion states two ratios or rates are equal. The proportion is read " [latex]a[/latex] is to [latex]b[/latex] , as [latex]c[/latex] is to [latex]d[/latex] ".
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