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Finding the Fourth Proportional to 9,737.27, 13,438.49 and 5,962.98

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Solution

The fourth proportional to 9,737.27, 13,438.49 and 5,962.98 is: 8,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.27 : 13,438.49 = 5,962.98 : x
  2. Step 2: Convert to fraction form
    9,737.27/13,438.49 = 5,962.98/x
  3. Step 3: Cross multiply
    9,737.27x = 13,438.49 × 5,962.98
  4. Step 4: Simplify right side
    9,737.27x = 80,133,447.10
  5. Step 5: Solve for x
    x = 80,133,447.10/9,737.27
  6. Step 6: Final answer
    x = 8,229.56

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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.