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Finding the Fourth Proportional to 7,201.88, 9,938.70 and 4,015.09

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Solution

The fourth proportional to 7,201.88, 9,938.70 and 4,015.09 is: 5,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.88 : 9,938.70 = 4,015.09 : x
  2. Step 2: Convert to fraction form
    7,201.88/9,938.70 = 4,015.09/x
  3. Step 3: Cross multiply
    7,201.88x = 9,938.70 × 4,015.09
  4. Step 4: Simplify right side
    7,201.88x = 39,904,750.14
  5. Step 5: Solve for x
    x = 39,904,750.14/7,201.88
  6. Step 6: Final answer
    x = 5,540.88

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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.