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Finding the Fourth Proportional to 6,396.53, 9,594.79 and 2,697.77

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Solution

The fourth proportional to 6,396.53, 9,594.79 and 2,697.77 is: 4,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.53 : 9,594.79 = 2,697.77 : x
  2. Step 2: Convert to fraction form
    6,396.53/9,594.79 = 2,697.77/x
  3. Step 3: Cross multiply
    6,396.53x = 9,594.79 × 2,697.77
  4. Step 4: Simplify right side
    6,396.53x = 25,884,553.86
  5. Step 5: Solve for x
    x = 25,884,553.86/6,396.53
  6. Step 6: Final answer
    x = 4,046.66

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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.