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Finding the Fourth Proportional to 7,494.57, 10,317.10 and 6,440.49

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Solution

The fourth proportional to 7,494.57, 10,317.10 and 6,440.49 is: 8,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.57 : 10,317.10 = 6,440.49 : x
  2. Step 2: Convert to fraction form
    7,494.57/10,317.10 = 6,440.49/x
  3. Step 3: Cross multiply
    7,494.57x = 10,317.10 × 6,440.49
  4. Step 4: Simplify right side
    7,494.57x = 66,447,179.38
  5. Step 5: Solve for x
    x = 66,447,179.38/7,494.57
  6. Step 6: Final answer
    x = 8,866.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.