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Finding the Fourth Proportional to 10,883.98, 15,020.46 and 6,634.38

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Solution

The fourth proportional to 10,883.98, 15,020.46 and 6,634.38 is: 9,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.98 : 15,020.46 = 6,634.38 : x
  2. Step 2: Convert to fraction form
    10,883.98/15,020.46 = 6,634.38/x
  3. Step 3: Cross multiply
    10,883.98x = 15,020.46 × 6,634.38
  4. Step 4: Simplify right side
    10,883.98x = 99,651,439.41
  5. Step 5: Solve for x
    x = 99,651,439.41/10,883.98
  6. Step 6: Final answer
    x = 9,155.79

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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.