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Finding the Fourth Proportional to 6,266.28, 9,399.96 and 1,649.28

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Solution

The fourth proportional to 6,266.28, 9,399.96 and 1,649.28 is: 2,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.28 : 9,399.96 = 1,649.28 : x
  2. Step 2: Convert to fraction form
    6,266.28/9,399.96 = 1,649.28/x
  3. Step 3: Cross multiply
    6,266.28x = 9,399.96 × 1,649.28
  4. Step 4: Simplify right side
    6,266.28x = 15,503,166.03
  5. Step 5: Solve for x
    x = 15,503,166.03/6,266.28
  6. Step 6: Final answer
    x = 2,474.06

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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.