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Finding the Fourth Proportional to 6,687.52, 10,025.95 and 3,175.77

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Solution

The fourth proportional to 6,687.52, 10,025.95 and 3,175.77 is: 4,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.52 : 10,025.95 = 3,175.77 : x
  2. Step 2: Convert to fraction form
    6,687.52/10,025.95 = 3,175.77/x
  3. Step 3: Cross multiply
    6,687.52x = 10,025.95 × 3,175.77
  4. Step 4: Simplify right side
    6,687.52x = 31,840,053.16
  5. Step 5: Solve for x
    x = 31,840,053.16/6,687.52
  6. Step 6: Final answer
    x = 4,761.12

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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.