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Finding the Fourth Proportional to 11,227.44, 16,841.16 and 3,828.09

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Solution

The fourth proportional to 11,227.44, 16,841.16 and 3,828.09 is: 5,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.44 : 16,841.16 = 3,828.09 : x
  2. Step 2: Convert to fraction form
    11,227.44/16,841.16 = 3,828.09/x
  3. Step 3: Cross multiply
    11,227.44x = 16,841.16 × 3,828.09
  4. Step 4: Simplify right side
    11,227.44x = 64,469,476.18
  5. Step 5: Solve for x
    x = 64,469,476.18/11,227.44
  6. Step 6: Final answer
    x = 5,742.14

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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.