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Finding the Fourth Proportional to 7,202.62, 9,939.78 and 4,016.12

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Solution

The fourth proportional to 7,202.62, 9,939.78 and 4,016.12 is: 5,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.62 : 9,939.78 = 4,016.12 : x
  2. Step 2: Convert to fraction form
    7,202.62/9,939.78 = 4,016.12/x
  3. Step 3: Cross multiply
    7,202.62x = 9,939.78 × 4,016.12
  4. Step 4: Simplify right side
    7,202.62x = 39,919,374.10
  5. Step 5: Solve for x
    x = 39,919,374.10/7,202.62
  6. Step 6: Final answer
    x = 5,542.34

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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.