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Finding the Fourth Proportional to 9,122.89, 12,591.96 and 5,944.90

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Solution

The fourth proportional to 9,122.89, 12,591.96 and 5,944.90 is: 8,205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.89 : 12,591.96 = 5,944.90 : x
  2. Step 2: Convert to fraction form
    9,122.89/12,591.96 = 5,944.90/x
  3. Step 3: Cross multiply
    9,122.89x = 12,591.96 × 5,944.90
  4. Step 4: Simplify right side
    9,122.89x = 74,857,943.00
  5. Step 5: Solve for x
    x = 74,857,943.00/9,122.89
  6. Step 6: Final answer
    x = 8,205.51

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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.