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Finding the Fourth Proportional to 11,009.97, 15,193.80 and 5,974.20

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Solution

The fourth proportional to 11,009.97, 15,193.80 and 5,974.20 is: 8,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.97 : 15,193.80 = 5,974.20 : x
  2. Step 2: Convert to fraction form
    11,009.97/15,193.80 = 5,974.20/x
  3. Step 3: Cross multiply
    11,009.97x = 15,193.80 × 5,974.20
  4. Step 4: Simplify right side
    11,009.97x = 90,770,799.96
  5. Step 5: Solve for x
    x = 90,770,799.96/11,009.97
  6. Step 6: Final answer
    x = 8,244.42

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Double scale
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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.