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Finding the Fourth Proportional to 7,202.27, 9,939.32 and 4,016.09

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Solution

The fourth proportional to 7,202.27, 9,939.32 and 4,016.09 is: 5,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.27 : 9,939.32 = 4,016.09 : x
  2. Step 2: Convert to fraction form
    7,202.27/9,939.32 = 4,016.09/x
  3. Step 3: Cross multiply
    7,202.27x = 9,939.32 × 4,016.09
  4. Step 4: Simplify right side
    7,202.27x = 39,917,238.55
  5. Step 5: Solve for x
    x = 39,917,238.55/7,202.27
  6. Step 6: Final answer
    x = 5,542.31

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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.