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Finding the Fourth Proportional to 11,914.44, 16,443.06 and 7,198.62

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Solution

The fourth proportional to 11,914.44, 16,443.06 and 7,198.62 is: 9,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.44 : 16,443.06 = 7,198.62 : x
  2. Step 2: Convert to fraction form
    11,914.44/16,443.06 = 7,198.62/x
  3. Step 3: Cross multiply
    11,914.44x = 16,443.06 × 7,198.62
  4. Step 4: Simplify right side
    11,914.44x = 118,367,340.58
  5. Step 5: Solve for x
    x = 118,367,340.58/11,914.44
  6. Step 6: Final answer
    x = 9,934.78

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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.