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Finding the Fourth Proportional to 6,400.80, 9,601.20 and 3,997.20

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Solution

The fourth proportional to 6,400.80, 9,601.20 and 3,997.20 is: 5,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.80 : 9,601.20 = 3,997.20 : x
  2. Step 2: Convert to fraction form
    6,400.80/9,601.20 = 3,997.20/x
  3. Step 3: Cross multiply
    6,400.80x = 9,601.20 × 3,997.20
  4. Step 4: Simplify right side
    6,400.80x = 38,377,916.64
  5. Step 5: Solve for x
    x = 38,377,916.64/6,400.80
  6. Step 6: Final answer
    x = 5,995.80

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1.5x scale

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.