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Finding the Fourth Proportional to 6,206.70, 9,310.65 and 1,824.20

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Solution

The fourth proportional to 6,206.70, 9,310.65 and 1,824.20 is: 2,736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.70 : 9,310.65 = 1,824.20 : x
  2. Step 2: Convert to fraction form
    6,206.70/9,310.65 = 1,824.20/x
  3. Step 3: Cross multiply
    6,206.70x = 9,310.65 × 1,824.20
  4. Step 4: Simplify right side
    6,206.70x = 16,984,487.73
  5. Step 5: Solve for x
    x = 16,984,487.73/6,206.70
  6. Step 6: Final answer
    x = 2,736.48

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