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Finding the Fourth Proportional to 22,532.72, 33,803.12 and 7,737.80

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Solution

The fourth proportional to 22,532.72, 33,803.12 and 7,737.80 is: 11,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.72 : 33,803.12 = 7,737.80 : x
  2. Step 2: Convert to fraction form
    22,532.72/33,803.12 = 7,737.80/x
  3. Step 3: Cross multiply
    22,532.72x = 33,803.12 × 7,737.80
  4. Step 4: Simplify right side
    22,532.72x = 261,561,781.94
  5. Step 5: Solve for x
    x = 261,561,781.94/22,532.72
  6. Step 6: Final answer
    x = 11,608.09

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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.