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Finding the Fourth Proportional to 6,974.73, 10,462.10 and 4,379.49

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Solution

The fourth proportional to 6,974.73, 10,462.10 and 4,379.49 is: 6,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.73 : 10,462.10 = 4,379.49 : x
  2. Step 2: Convert to fraction form
    6,974.73/10,462.10 = 4,379.49/x
  3. Step 3: Cross multiply
    6,974.73x = 10,462.10 × 4,379.49
  4. Step 4: Simplify right side
    6,974.73x = 45,818,640.43
  5. Step 5: Solve for x
    x = 45,818,640.43/6,974.73
  6. Step 6: Final answer
    x = 6,569.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.