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Finding the Fourth Proportional to 11,449.49, 15,801.09 and 6,414.14

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Solution

The fourth proportional to 11,449.49, 15,801.09 and 6,414.14 is: 8,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.49 : 15,801.09 = 6,414.14 : x
  2. Step 2: Convert to fraction form
    11,449.49/15,801.09 = 6,414.14/x
  3. Step 3: Cross multiply
    11,449.49x = 15,801.09 × 6,414.14
  4. Step 4: Simplify right side
    11,449.49x = 101,350,403.41
  5. Step 5: Solve for x
    x = 101,350,403.41/11,449.49
  6. Step 6: Final answer
    x = 8,851.96

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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.