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Finding the Fourth Proportional to 6,755.20, 10,125.60 and 2,593.60

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Solution

The fourth proportional to 6,755.20, 10,125.60 and 2,593.60 is: 3,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.20 : 10,125.60 = 2,593.60 : x
  2. Step 2: Convert to fraction form
    6,755.20/10,125.60 = 2,593.60/x
  3. Step 3: Cross multiply
    6,755.20x = 10,125.60 × 2,593.60
  4. Step 4: Simplify right side
    6,755.20x = 26,261,756.16
  5. Step 5: Solve for x
    x = 26,261,756.16/6,755.20
  6. Step 6: Final answer
    x = 3,887.64

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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.