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Finding the Fourth Proportional to 10,850.67, 14,974.02 and 6,374.46

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Solution

The fourth proportional to 10,850.67, 14,974.02 and 6,374.46 is: 8,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.67 : 14,974.02 = 6,374.46 : x
  2. Step 2: Convert to fraction form
    10,850.67/14,974.02 = 6,374.46/x
  3. Step 3: Cross multiply
    10,850.67x = 14,974.02 × 6,374.46
  4. Step 4: Simplify right side
    10,850.67x = 95,451,291.53
  5. Step 5: Solve for x
    x = 95,451,291.53/10,850.67
  6. Step 6: Final answer
    x = 8,796.81

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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.