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Finding the Fourth Proportional to 9,037.64, 12,472.05 and 5,452.78

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Solution

The fourth proportional to 9,037.64, 12,472.05 and 5,452.78 is: 7,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.64 : 12,472.05 = 5,452.78 : x
  2. Step 2: Convert to fraction form
    9,037.64/12,472.05 = 5,452.78/x
  3. Step 3: Cross multiply
    9,037.64x = 12,472.05 × 5,452.78
  4. Step 4: Simplify right side
    9,037.64x = 68,007,313.62
  5. Step 5: Solve for x
    x = 68,007,313.62/9,037.64
  6. Step 6: Final answer
    x = 7,524.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.