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Finding the Fourth Proportional to 13,537.60, 20,299.20 and 5,737.60

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Solution

The fourth proportional to 13,537.60, 20,299.20 and 5,737.60 is: 8,603.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.60 : 20,299.20 = 5,737.60 : x
  2. Step 2: Convert to fraction form
    13,537.60/20,299.20 = 5,737.60/x
  3. Step 3: Cross multiply
    13,537.60x = 20,299.20 × 5,737.60
  4. Step 4: Simplify right side
    13,537.60x = 116,468,689.92
  5. Step 5: Solve for x
    x = 116,468,689.92/13,537.60
  6. Step 6: Final answer
    x = 8,603.35

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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.