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Finding the Fourth Proportional to 6,327.60, 8,731.36 and 3,638.68

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Solution

The fourth proportional to 6,327.60, 8,731.36 and 3,638.68 is: 5,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.60 : 8,731.36 = 3,638.68 : x
  2. Step 2: Convert to fraction form
    6,327.60/8,731.36 = 3,638.68/x
  3. Step 3: Cross multiply
    6,327.60x = 8,731.36 × 3,638.68
  4. Step 4: Simplify right side
    6,327.60x = 31,770,625.00
  5. Step 5: Solve for x
    x = 31,770,625.00/6,327.60
  6. Step 6: Final answer
    x = 5,020.96

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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.