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Finding the Fourth Proportional to 6,737.12, 10,107.24 and 2,120

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Solution

The fourth proportional to 6,737.12, 10,107.24 and 2,120 is: 3,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.12 : 10,107.24 = 2,120 : x
  2. Step 2: Convert to fraction form
    6,737.12/10,107.24 = 2,120/x
  3. Step 3: Cross multiply
    6,737.12x = 10,107.24 × 2,120
  4. Step 4: Simplify right side
    6,737.12x = 21,427,348.80
  5. Step 5: Solve for x
    x = 21,427,348.80/6,737.12
  6. Step 6: Final answer
    x = 3,180.49

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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.