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Finding the Fourth Proportional to 9,951.66, 13,732.99 and 5,414.09

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Solution

The fourth proportional to 9,951.66, 13,732.99 and 5,414.09 is: 7,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.66 : 13,732.99 = 5,414.09 : x
  2. Step 2: Convert to fraction form
    9,951.66/13,732.99 = 5,414.09/x
  3. Step 3: Cross multiply
    9,951.66x = 13,732.99 × 5,414.09
  4. Step 4: Simplify right side
    9,951.66x = 74,351,669.33
  5. Step 5: Solve for x
    x = 74,351,669.33/9,951.66
  6. Step 6: Final answer
    x = 7,471.28

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1.5x scale

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.