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Finding the Fourth Proportional to 11,244, 16,854.48 and 4,674

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Solution

The fourth proportional to 11,244, 16,854.48 and 4,674 is: 7,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244 : 16,854.48 = 4,674 : x
  2. Step 2: Convert to fraction form
    11,244/16,854.48 = 4,674/x
  3. Step 3: Cross multiply
    11,244x = 16,854.48 × 4,674
  4. Step 4: Simplify right side
    11,244x = 78,777,839.52
  5. Step 5: Solve for x
    x = 78,777,839.52/11,244
  6. Step 6: Final answer
    x = 7,006.21

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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.