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Finding the Fourth Proportional to 12,414.08, 17,134.83 and 7,314.08

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Solution

The fourth proportional to 12,414.08, 17,134.83 and 7,314.08 is: 10,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.08 : 17,134.83 = 7,314.08 : x
  2. Step 2: Convert to fraction form
    12,414.08/17,134.83 = 7,314.08/x
  3. Step 3: Cross multiply
    12,414.08x = 17,134.83 × 7,314.08
  4. Step 4: Simplify right side
    12,414.08x = 125,325,517.41
  5. Step 5: Solve for x
    x = 125,325,517.41/12,414.08
  6. Step 6: Final answer
    x = 10,095.43

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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.