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Finding the Fourth Proportional to 10,614.50, 15,809.62 and 10,059.38

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Solution

The fourth proportional to 10,614.50, 15,809.62 and 10,059.38 is: 14,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.50 : 15,809.62 = 10,059.38 : x
  2. Step 2: Convert to fraction form
    10,614.50/15,809.62 = 10,059.38/x
  3. Step 3: Cross multiply
    10,614.50x = 15,809.62 × 10,059.38
  4. Step 4: Simplify right side
    10,614.50x = 159,034,975.24
  5. Step 5: Solve for x
    x = 159,034,975.24/10,614.50
  6. Step 6: Final answer
    x = 14,982.80

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1.5x scale

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.