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Finding the Fourth Proportional to 11,198.50, 15,454.29 and 6,162.46

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Solution

The fourth proportional to 11,198.50, 15,454.29 and 6,162.46 is: 8,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.50 : 15,454.29 = 6,162.46 : x
  2. Step 2: Convert to fraction form
    11,198.50/15,454.29 = 6,162.46/x
  3. Step 3: Cross multiply
    11,198.50x = 15,454.29 × 6,162.46
  4. Step 4: Simplify right side
    11,198.50x = 95,236,443.95
  5. Step 5: Solve for x
    x = 95,236,443.95/11,198.50
  6. Step 6: Final answer
    x = 8,504.39

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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.