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Finding the Fourth Proportional to 5,966.65, 8,234.63 and 3,610.09

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Solution

The fourth proportional to 5,966.65, 8,234.63 and 3,610.09 is: 4,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.65 : 8,234.63 = 3,610.09 : x
  2. Step 2: Convert to fraction form
    5,966.65/8,234.63 = 3,610.09/x
  3. Step 3: Cross multiply
    5,966.65x = 8,234.63 × 3,610.09
  4. Step 4: Simplify right side
    5,966.65x = 29,727,755.42
  5. Step 5: Solve for x
    x = 29,727,755.42/5,966.65
  6. Step 6: Final answer
    x = 4,982.32

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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.