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Finding the Fourth Proportional to 6,593.80, 9,887.28 and 2,433.64

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Solution

The fourth proportional to 6,593.80, 9,887.28 and 2,433.64 is: 3,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.80 : 9,887.28 = 2,433.64 : x
  2. Step 2: Convert to fraction form
    6,593.80/9,887.28 = 2,433.64/x
  3. Step 3: Cross multiply
    6,593.80x = 9,887.28 × 2,433.64
  4. Step 4: Simplify right side
    6,593.80x = 24,062,080.10
  5. Step 5: Solve for x
    x = 24,062,080.10/6,593.80
  6. Step 6: Final answer
    x = 3,649.20

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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.