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Finding the Fourth Proportional to 10,974.20, 15,144.71 and 6,258.38

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Solution

The fourth proportional to 10,974.20, 15,144.71 and 6,258.38 is: 8,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.20 : 15,144.71 = 6,258.38 : x
  2. Step 2: Convert to fraction form
    10,974.20/15,144.71 = 6,258.38/x
  3. Step 3: Cross multiply
    10,974.20x = 15,144.71 × 6,258.38
  4. Step 4: Simplify right side
    10,974.20x = 94,781,243.15
  5. Step 5: Solve for x
    x = 94,781,243.15/10,974.20
  6. Step 6: Final answer
    x = 8,636.74

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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.