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Finding the Fourth Proportional to 12,867, 17,744.31 and 8,394.18

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Solution

The fourth proportional to 12,867, 17,744.31 and 8,394.18 is: 11,576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867 : 17,744.31 = 8,394.18 : x
  2. Step 2: Convert to fraction form
    12,867/17,744.31 = 8,394.18/x
  3. Step 3: Cross multiply
    12,867x = 17,744.31 × 8,394.18
  4. Step 4: Simplify right side
    12,867x = 148,948,932.12
  5. Step 5: Solve for x
    x = 148,948,932.12/12,867
  6. Step 6: Final answer
    x = 11,576.04

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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.