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Finding the Fourth Proportional to 6,617.82, 9,926.16 and 2,234.10

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Solution

The fourth proportional to 6,617.82, 9,926.16 and 2,234.10 is: 3,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.82 : 9,926.16 = 2,234.10 : x
  2. Step 2: Convert to fraction form
    6,617.82/9,926.16 = 2,234.10/x
  3. Step 3: Cross multiply
    6,617.82x = 9,926.16 × 2,234.10
  4. Step 4: Simplify right side
    6,617.82x = 22,176,034.06
  5. Step 5: Solve for x
    x = 22,176,034.06/6,617.82
  6. Step 6: Final answer
    x = 3,350.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.