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Finding the Fourth Proportional to 8,201.52, 11,318.06 and 4,475.52

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Solution

The fourth proportional to 8,201.52, 11,318.06 and 4,475.52 is: 6,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.52 : 11,318.06 = 4,475.52 : x
  2. Step 2: Convert to fraction form
    8,201.52/11,318.06 = 4,475.52/x
  3. Step 3: Cross multiply
    8,201.52x = 11,318.06 × 4,475.52
  4. Step 4: Simplify right side
    8,201.52x = 50,654,203.89
  5. Step 5: Solve for x
    x = 50,654,203.89/8,201.52
  6. Step 6: Final answer
    x = 6,176.20

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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.