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Finding the Fourth Proportional to 6,844.67, 10,266.91 and 1,650.50

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Solution

The fourth proportional to 6,844.67, 10,266.91 and 1,650.50 is: 2,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.67 : 10,266.91 = 1,650.50 : x
  2. Step 2: Convert to fraction form
    6,844.67/10,266.91 = 1,650.50/x
  3. Step 3: Cross multiply
    6,844.67x = 10,266.91 × 1,650.50
  4. Step 4: Simplify right side
    6,844.67x = 16,945,534.96
  5. Step 5: Solve for x
    x = 16,945,534.96/6,844.67
  6. Step 6: Final answer
    x = 2,475.73

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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.