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Finding the Fourth Proportional to 12,634.10, 18,951.20 and 3,868.98

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Solution

The fourth proportional to 12,634.10, 18,951.20 and 3,868.98 is: 5,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.10 : 18,951.20 = 3,868.98 : x
  2. Step 2: Convert to fraction form
    12,634.10/18,951.20 = 3,868.98/x
  3. Step 3: Cross multiply
    12,634.10x = 18,951.20 × 3,868.98
  4. Step 4: Simplify right side
    12,634.10x = 73,321,813.78
  5. Step 5: Solve for x
    x = 73,321,813.78/12,634.10
  6. Step 6: Final answer
    x = 5,803.49

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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.