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Finding the Fourth Proportional to 13,704.53, 18,912.24 and 7,737.44

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Solution

The fourth proportional to 13,704.53, 18,912.24 and 7,737.44 is: 10,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.53 : 18,912.24 = 7,737.44 : x
  2. Step 2: Convert to fraction form
    13,704.53/18,912.24 = 7,737.44/x
  3. Step 3: Cross multiply
    13,704.53x = 18,912.24 × 7,737.44
  4. Step 4: Simplify right side
    13,704.53x = 146,332,227.70
  5. Step 5: Solve for x
    x = 146,332,227.70/13,704.53
  6. Step 6: Final answer
    x = 10,677.66

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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.