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Finding the Fourth Proportional to 8,737.72, 12,053.94 and 5,198.92

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Solution

The fourth proportional to 8,737.72, 12,053.94 and 5,198.92 is: 7,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.72 : 12,053.94 = 5,198.92 : x
  2. Step 2: Convert to fraction form
    8,737.72/12,053.94 = 5,198.92/x
  3. Step 3: Cross multiply
    8,737.72x = 12,053.94 × 5,198.92
  4. Step 4: Simplify right side
    8,737.72x = 62,667,469.74
  5. Step 5: Solve for x
    x = 62,667,469.74/8,737.72
  6. Step 6: Final answer
    x = 7,172.06

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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.