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Finding the Fourth Proportional to 22,538.46, 33,809.50 and 7,747.38

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Solution

The fourth proportional to 22,538.46, 33,809.50 and 7,747.38 is: 11,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.46 : 33,809.50 = 7,747.38 : x
  2. Step 2: Convert to fraction form
    22,538.46/33,809.50 = 7,747.38/x
  3. Step 3: Cross multiply
    22,538.46x = 33,809.50 × 7,747.38
  4. Step 4: Simplify right side
    22,538.46x = 261,935,044.11
  5. Step 5: Solve for x
    x = 261,935,044.11/22,538.46
  6. Step 6: Final answer
    x = 11,621.69

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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.