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Finding the Fourth Proportional to 7,201.91, 10,801.96 and 2,272.05

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Solution

The fourth proportional to 7,201.91, 10,801.96 and 2,272.05 is: 3,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.91 : 10,801.96 = 2,272.05 : x
  2. Step 2: Convert to fraction form
    7,201.91/10,801.96 = 2,272.05/x
  3. Step 3: Cross multiply
    7,201.91x = 10,801.96 × 2,272.05
  4. Step 4: Simplify right side
    7,201.91x = 24,542,587.54
  5. Step 5: Solve for x
    x = 24,542,587.54/7,201.91
  6. Step 6: Final answer
    x = 3,407.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.