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Finding the Fourth Proportional to 20,562.64, 30,839.10 and 9,462.40

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Solution

The fourth proportional to 20,562.64, 30,839.10 and 9,462.40 is: 14,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,562.64 : 30,839.10 = 9,462.40 : x
  2. Step 2: Convert to fraction form
    20,562.64/30,839.10 = 9,462.40/x
  3. Step 3: Cross multiply
    20,562.64x = 30,839.10 × 9,462.40
  4. Step 4: Simplify right side
    20,562.64x = 291,811,899.84
  5. Step 5: Solve for x
    x = 291,811,899.84/20,562.64
  6. Step 6: Final answer
    x = 14,191.36

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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.