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Finding the Fourth Proportional to 11,860.97, 17,754.53 and 7,469.20

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Solution

The fourth proportional to 11,860.97, 17,754.53 and 7,469.20 is: 11,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.97 : 17,754.53 = 7,469.20 : x
  2. Step 2: Convert to fraction form
    11,860.97/17,754.53 = 7,469.20/x
  3. Step 3: Cross multiply
    11,860.97x = 17,754.53 × 7,469.20
  4. Step 4: Simplify right side
    11,860.97x = 132,612,046.70
  5. Step 5: Solve for x
    x = 132,612,046.70/11,860.97
  6. Step 6: Final answer
    x = 11,180.54

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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.