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Finding the Fourth Proportional to 10,234.80, 15,355.80 and 5,037.20

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Solution

The fourth proportional to 10,234.80, 15,355.80 and 5,037.20 is: 7,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.80 : 15,355.80 = 5,037.20 : x
  2. Step 2: Convert to fraction form
    10,234.80/15,355.80 = 5,037.20/x
  3. Step 3: Cross multiply
    10,234.80x = 15,355.80 × 5,037.20
  4. Step 4: Simplify right side
    10,234.80x = 77,350,235.76
  5. Step 5: Solve for x
    x = 77,350,235.76/10,234.80
  6. Step 6: Final answer
    x = 7,557.57

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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.