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Finding the Fourth Proportional to 5,966.73, 8,234.46 and 3,449.30

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Solution

The fourth proportional to 5,966.73, 8,234.46 and 3,449.30 is: 4,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.73 : 8,234.46 = 3,449.30 : x
  2. Step 2: Convert to fraction form
    5,966.73/8,234.46 = 3,449.30/x
  3. Step 3: Cross multiply
    5,966.73x = 8,234.46 × 3,449.30
  4. Step 4: Simplify right side
    5,966.73x = 28,403,122.88
  5. Step 5: Solve for x
    x = 28,403,122.88/5,966.73
  6. Step 6: Final answer
    x = 4,760.25

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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.