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Finding the Fourth Proportional to 6,396.59, 9,577.17 and 3,269.86

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Solution

The fourth proportional to 6,396.59, 9,577.17 and 3,269.86 is: 4,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.59 : 9,577.17 = 3,269.86 : x
  2. Step 2: Convert to fraction form
    6,396.59/9,577.17 = 3,269.86/x
  3. Step 3: Cross multiply
    6,396.59x = 9,577.17 × 3,269.86
  4. Step 4: Simplify right side
    6,396.59x = 31,315,988.75
  5. Step 5: Solve for x
    x = 31,315,988.75/6,396.59
  6. Step 6: Final answer
    x = 4,895.73

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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.