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Finding the Fourth Proportional to 15,144.73, 22,704.67 and 6,822.25

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Solution

The fourth proportional to 15,144.73, 22,704.67 and 6,822.25 is: 10,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,144.73 : 22,704.67 = 6,822.25 : x
  2. Step 2: Convert to fraction form
    15,144.73/22,704.67 = 6,822.25/x
  3. Step 3: Cross multiply
    15,144.73x = 22,704.67 × 6,822.25
  4. Step 4: Simplify right side
    15,144.73x = 154,896,934.91
  5. Step 5: Solve for x
    x = 154,896,934.91/15,144.73
  6. Step 6: Final answer
    x = 10,227.78

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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.