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Finding the Fourth Proportional to 15,737.60, 23,600.78 and 5,205.68

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Solution

The fourth proportional to 15,737.60, 23,600.78 and 5,205.68 is: 7,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.60 : 23,600.78 = 5,205.68 : x
  2. Step 2: Convert to fraction form
    15,737.60/23,600.78 = 5,205.68/x
  3. Step 3: Cross multiply
    15,737.60x = 23,600.78 × 5,205.68
  4. Step 4: Simplify right side
    15,737.60x = 122,858,108.43
  5. Step 5: Solve for x
    x = 122,858,108.43/15,737.60
  6. Step 6: Final answer
    x = 7,806.66

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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.