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Finding the Fourth Proportional to 7,201.91, 9,938.22 and 4,015.02

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Solution

The fourth proportional to 7,201.91, 9,938.22 and 4,015.02 is: 5,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.91 : 9,938.22 = 4,015.02 : x
  2. Step 2: Convert to fraction form
    7,201.91/9,938.22 = 4,015.02/x
  3. Step 3: Cross multiply
    7,201.91x = 9,938.22 × 4,015.02
  4. Step 4: Simplify right side
    7,201.91x = 39,902,152.06
  5. Step 5: Solve for x
    x = 39,902,152.06/7,201.91
  6. Step 6: Final answer
    x = 5,540.50

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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.