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Finding the Fourth Proportional to 6,394.86, 9,593.46 and 2,499.02

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Solution

The fourth proportional to 6,394.86, 9,593.46 and 2,499.02 is: 3,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.86 : 9,593.46 = 2,499.02 : x
  2. Step 2: Convert to fraction form
    6,394.86/9,593.46 = 2,499.02/x
  3. Step 3: Cross multiply
    6,394.86x = 9,593.46 × 2,499.02
  4. Step 4: Simplify right side
    6,394.86x = 23,974,248.41
  5. Step 5: Solve for x
    x = 23,974,248.41/6,394.86
  6. Step 6: Final answer
    x = 3,748.99

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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.