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Finding the Fourth Proportional to 6,394.65, 9,593.94 and 3,276.86

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Solution

The fourth proportional to 6,394.65, 9,593.94 and 3,276.86 is: 4,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.65 : 9,593.94 = 3,276.86 : x
  2. Step 2: Convert to fraction form
    6,394.65/9,593.94 = 3,276.86/x
  3. Step 3: Cross multiply
    6,394.65x = 9,593.94 × 3,276.86
  4. Step 4: Simplify right side
    6,394.65x = 31,437,962.55
  5. Step 5: Solve for x
    x = 31,437,962.55/6,394.65
  6. Step 6: Final answer
    x = 4,916.29

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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.