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Finding the Fourth Proportional to 8,201.22, 11,318.31 and 4,664.22

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Solution

The fourth proportional to 8,201.22, 11,318.31 and 4,664.22 is: 6,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.22 : 11,318.31 = 4,664.22 : x
  2. Step 2: Convert to fraction form
    8,201.22/11,318.31 = 4,664.22/x
  3. Step 3: Cross multiply
    8,201.22x = 11,318.31 × 4,664.22
  4. Step 4: Simplify right side
    8,201.22x = 52,791,087.87
  5. Step 5: Solve for x
    x = 52,791,087.87/8,201.22
  6. Step 6: Final answer
    x = 6,436.98

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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.