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Finding the Fourth Proportional to 7,593, 11,380.98 and 5,738.10

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Solution

The fourth proportional to 7,593, 11,380.98 and 5,738.10 is: 8,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,593 : 11,380.98 = 5,738.10 : x
  2. Step 2: Convert to fraction form
    7,593/11,380.98 = 5,738.10/x
  3. Step 3: Cross multiply
    7,593x = 11,380.98 × 5,738.10
  4. Step 4: Simplify right side
    7,593x = 65,305,201.34
  5. Step 5: Solve for x
    x = 65,305,201.34/7,593
  6. Step 6: Final answer
    x = 8,600.71

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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.