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Finding the Fourth Proportional to 22,144.98, 33,223.95 and 7,151.76

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Solution

The fourth proportional to 22,144.98, 33,223.95 and 7,151.76 is: 10,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,144.98 : 33,223.95 = 7,151.76 : x
  2. Step 2: Convert to fraction form
    22,144.98/33,223.95 = 7,151.76/x
  3. Step 3: Cross multiply
    22,144.98x = 33,223.95 × 7,151.76
  4. Step 4: Simplify right side
    22,144.98x = 237,609,716.65
  5. Step 5: Solve for x
    x = 237,609,716.65/22,144.98
  6. Step 6: Final answer
    x = 10,729.73

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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.