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Finding the Fourth Proportional to 11,969.98, 17,954.97 and 5,728.52

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Solution

The fourth proportional to 11,969.98, 17,954.97 and 5,728.52 is: 8,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.98 : 17,954.97 = 5,728.52 : x
  2. Step 2: Convert to fraction form
    11,969.98/17,954.97 = 5,728.52/x
  3. Step 3: Cross multiply
    11,969.98x = 17,954.97 × 5,728.52
  4. Step 4: Simplify right side
    11,969.98x = 102,855,404.74
  5. Step 5: Solve for x
    x = 102,855,404.74/11,969.98
  6. Step 6: Final answer
    x = 8,592.78

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Similar ratio
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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.