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Finding the Fourth Proportional to 15,175.62, 22,765.86 and 6,410.61

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Solution

The fourth proportional to 15,175.62, 22,765.86 and 6,410.61 is: 9,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.62 : 22,765.86 = 6,410.61 : x
  2. Step 2: Convert to fraction form
    15,175.62/22,765.86 = 6,410.61/x
  3. Step 3: Cross multiply
    15,175.62x = 22,765.86 × 6,410.61
  4. Step 4: Simplify right side
    15,175.62x = 145,943,049.77
  5. Step 5: Solve for x
    x = 145,943,049.77/15,175.62
  6. Step 6: Final answer
    x = 9,616.94

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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.