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Finding the Fourth Proportional to 12,163.62, 16,787.42 and 7,129.83

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Solution

The fourth proportional to 12,163.62, 16,787.42 and 7,129.83 is: 9,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.62 : 16,787.42 = 7,129.83 : x
  2. Step 2: Convert to fraction form
    12,163.62/16,787.42 = 7,129.83/x
  3. Step 3: Cross multiply
    12,163.62x = 16,787.42 × 7,129.83
  4. Step 4: Simplify right side
    12,163.62x = 119,691,450.74
  5. Step 5: Solve for x
    x = 119,691,450.74/12,163.62
  6. Step 6: Final answer
    x = 9,840.12

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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.