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Finding the Fourth Proportional to 7,232.97, 9,981.09 and 4,002.60

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Solution

The fourth proportional to 7,232.97, 9,981.09 and 4,002.60 is: 5,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.97 : 9,981.09 = 4,002.60 : x
  2. Step 2: Convert to fraction form
    7,232.97/9,981.09 = 4,002.60/x
  3. Step 3: Cross multiply
    7,232.97x = 9,981.09 × 4,002.60
  4. Step 4: Simplify right side
    7,232.97x = 39,950,310.83
  5. Step 5: Solve for x
    x = 39,950,310.83/7,232.97
  6. Step 6: Final answer
    x = 5,523.36

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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.