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Finding the Fourth Proportional to 13,586.59, 20,411.16 and 9,593.20

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Solution

The fourth proportional to 13,586.59, 20,411.16 and 9,593.20 is: 14,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.59 : 20,411.16 = 9,593.20 : x
  2. Step 2: Convert to fraction form
    13,586.59/20,411.16 = 9,593.20/x
  3. Step 3: Cross multiply
    13,586.59x = 20,411.16 × 9,593.20
  4. Step 4: Simplify right side
    13,586.59x = 195,808,340.11
  5. Step 5: Solve for x
    x = 195,808,340.11/13,586.59
  6. Step 6: Final answer
    x = 14,411.88

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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.