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Finding the Fourth Proportional to 6,394.52, 9,588 and 2,494.38

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Solution

The fourth proportional to 6,394.52, 9,588 and 2,494.38 is: 3,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.52 : 9,588 = 2,494.38 : x
  2. Step 2: Convert to fraction form
    6,394.52/9,588 = 2,494.38/x
  3. Step 3: Cross multiply
    6,394.52x = 9,588 × 2,494.38
  4. Step 4: Simplify right side
    6,394.52x = 23,916,115.44
  5. Step 5: Solve for x
    x = 23,916,115.44/6,394.52
  6. Step 6: Final answer
    x = 3,740.10

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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.