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Finding the Fourth Proportional to 6,396.63, 9,600.41 and 2,503.77

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Solution

The fourth proportional to 6,396.63, 9,600.41 and 2,503.77 is: 3,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.63 : 9,600.41 = 2,503.77 : x
  2. Step 2: Convert to fraction form
    6,396.63/9,600.41 = 2,503.77/x
  3. Step 3: Cross multiply
    6,396.63x = 9,600.41 × 2,503.77
  4. Step 4: Simplify right side
    6,396.63x = 24,037,218.55
  5. Step 5: Solve for x
    x = 24,037,218.55/6,396.63
  6. Step 6: Final answer
    x = 3,757.79

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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.