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Finding the Fourth Proportional to 9,201.62, 12,696.50 and 5,425.97

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Solution

The fourth proportional to 9,201.62, 12,696.50 and 5,425.97 is: 7,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.62 : 12,696.50 = 5,425.97 : x
  2. Step 2: Convert to fraction form
    9,201.62/12,696.50 = 5,425.97/x
  3. Step 3: Cross multiply
    9,201.62x = 12,696.50 × 5,425.97
  4. Step 4: Simplify right side
    9,201.62x = 68,890,737.49
  5. Step 5: Solve for x
    x = 68,890,737.49/9,201.62
  6. Step 6: Final answer
    x = 7,486.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.