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Finding the Fourth Proportional to 5,641.14, 8,462.22 and 1,481.16

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Solution

The fourth proportional to 5,641.14, 8,462.22 and 1,481.16 is: 2,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.14 : 8,462.22 = 1,481.16 : x
  2. Step 2: Convert to fraction form
    5,641.14/8,462.22 = 1,481.16/x
  3. Step 3: Cross multiply
    5,641.14x = 8,462.22 × 1,481.16
  4. Step 4: Simplify right side
    5,641.14x = 12,533,901.78
  5. Step 5: Solve for x
    x = 12,533,901.78/5,641.14
  6. Step 6: Final answer
    x = 2,221.87

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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.