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Finding the Fourth Proportional to 12,540.50, 18,790.75 and 6,617.14

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Solution

The fourth proportional to 12,540.50, 18,790.75 and 6,617.14 is: 9,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,540.50 : 18,790.75 = 6,617.14 : x
  2. Step 2: Convert to fraction form
    12,540.50/18,790.75 = 6,617.14/x
  3. Step 3: Cross multiply
    12,540.50x = 18,790.75 × 6,617.14
  4. Step 4: Simplify right side
    12,540.50x = 124,340,984.75
  5. Step 5: Solve for x
    x = 124,340,984.75/12,540.50
  6. Step 6: Final answer
    x = 9,915.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.