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Finding the Fourth Proportional to 6,232.89, 8,601.12 and 3,400.22

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Solution

The fourth proportional to 6,232.89, 8,601.12 and 3,400.22 is: 4,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.89 : 8,601.12 = 3,400.22 : x
  2. Step 2: Convert to fraction form
    6,232.89/8,601.12 = 3,400.22/x
  3. Step 3: Cross multiply
    6,232.89x = 8,601.12 × 3,400.22
  4. Step 4: Simplify right side
    6,232.89x = 29,245,654.10
  5. Step 5: Solve for x
    x = 29,245,654.10/6,232.89
  6. Step 6: Final answer
    x = 4,692.15

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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.