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Finding the Fourth Proportional to 22,548.62, 33,822.92 and 7,757.66

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Solution

The fourth proportional to 22,548.62, 33,822.92 and 7,757.66 is: 11,636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548.62 : 33,822.92 = 7,757.66 : x
  2. Step 2: Convert to fraction form
    22,548.62/33,822.92 = 7,757.66/x
  3. Step 3: Cross multiply
    22,548.62x = 33,822.92 × 7,757.66
  4. Step 4: Simplify right side
    22,548.62x = 262,386,817.52
  5. Step 5: Solve for x
    x = 262,386,817.52/22,548.62
  6. Step 6: Final answer
    x = 11,636.49

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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.