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Finding the Fourth Proportional to 9,097.92, 13,640.83 and 3,551.78

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Solution

The fourth proportional to 9,097.92, 13,640.83 and 3,551.78 is: 5,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.92 : 13,640.83 = 3,551.78 : x
  2. Step 2: Convert to fraction form
    9,097.92/13,640.83 = 3,551.78/x
  3. Step 3: Cross multiply
    9,097.92x = 13,640.83 × 3,551.78
  4. Step 4: Simplify right side
    9,097.92x = 48,449,227.18
  5. Step 5: Solve for x
    x = 48,449,227.18/9,097.92
  6. Step 6: Final answer
    x = 5,325.31

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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.