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Finding the Fourth Proportional to 7,229.57, 10,844.22 and 2,299.55

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Solution

The fourth proportional to 7,229.57, 10,844.22 and 2,299.55 is: 3,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.57 : 10,844.22 = 2,299.55 : x
  2. Step 2: Convert to fraction form
    7,229.57/10,844.22 = 2,299.55/x
  3. Step 3: Cross multiply
    7,229.57x = 10,844.22 × 2,299.55
  4. Step 4: Simplify right side
    7,229.57x = 24,936,826.10
  5. Step 5: Solve for x
    x = 24,936,826.10/7,229.57
  6. Step 6: Final answer
    x = 3,449.28

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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.