Finding the Fourth Proportional to 10,609.92, 15,837 and 9,828
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Solution
The fourth proportional to 10,609.92, 15,837 and 9,828 is: 14,669.86
Step by Step Solution
- Step 1: Write the proportion equation
10,609.92 : 15,837 = 9,828 : x - Step 2: Convert to fraction form
10,609.92/15,837 = 9,828/x - Step 3: Cross multiply
10,609.92x = 15,837 × 9,828 - Step 4: Simplify right side
10,609.92x = 155,646,036 - Step 5: Solve for x
x = 155,646,036/10,609.92 - Step 6: Final answer
x = 14,669.86
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.