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Finding the Fourth Proportional to 7,202.24, 9,939.11 and 4,217.48

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Solution

The fourth proportional to 7,202.24, 9,939.11 and 4,217.48 is: 5,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.24 : 9,939.11 = 4,217.48 : x
  2. Step 2: Convert to fraction form
    7,202.24/9,939.11 = 4,217.48/x
  3. Step 3: Cross multiply
    7,202.24x = 9,939.11 × 4,217.48
  4. Step 4: Simplify right side
    7,202.24x = 41,917,997.64
  5. Step 5: Solve for x
    x = 41,917,997.64/7,202.24
  6. Step 6: Final answer
    x = 5,820.13

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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.