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Finding the Fourth Proportional to 10,609.65, 15,912.43 and 10,082.80

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Solution

The fourth proportional to 10,609.65, 15,912.43 and 10,082.80 is: 15,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.65 : 15,912.43 = 10,082.80 : x
  2. Step 2: Convert to fraction form
    10,609.65/15,912.43 = 10,082.80/x
  3. Step 3: Cross multiply
    10,609.65x = 15,912.43 × 10,082.80
  4. Step 4: Simplify right side
    10,609.65x = 160,441,849.20
  5. Step 5: Solve for x
    x = 160,441,849.20/10,609.65
  6. Step 6: Final answer
    x = 15,122.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.