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Finding the Fourth Proportional to 6,774.66, 10,162 and 1,844.30

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Solution

The fourth proportional to 6,774.66, 10,162 and 1,844.30 is: 2,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.66 : 10,162 = 1,844.30 : x
  2. Step 2: Convert to fraction form
    6,774.66/10,162 = 1,844.30/x
  3. Step 3: Cross multiply
    6,774.66x = 10,162 × 1,844.30
  4. Step 4: Simplify right side
    6,774.66x = 18,741,776.60
  5. Step 5: Solve for x
    x = 18,741,776.60/6,774.66
  6. Step 6: Final answer
    x = 2,766.45

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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.