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Finding the Fourth Proportional to 27,842.58, 41,734.71 and 11,198.70

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Solution

The fourth proportional to 27,842.58, 41,734.71 and 11,198.70 is: 16,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.58 : 41,734.71 = 11,198.70 : x
  2. Step 2: Convert to fraction form
    27,842.58/41,734.71 = 11,198.70/x
  3. Step 3: Cross multiply
    27,842.58x = 41,734.71 × 11,198.70
  4. Step 4: Simplify right side
    27,842.58x = 467,374,496.88
  5. Step 5: Solve for x
    x = 467,374,496.88/27,842.58
  6. Step 6: Final answer
    x = 16,786.32

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1.5x scale

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.