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Finding the Fourth Proportional to 6,016.71, 9,025.25 and 1,634.26

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Solution

The fourth proportional to 6,016.71, 9,025.25 and 1,634.26 is: 2,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.71 : 9,025.25 = 1,634.26 : x
  2. Step 2: Convert to fraction form
    6,016.71/9,025.25 = 1,634.26/x
  3. Step 3: Cross multiply
    6,016.71x = 9,025.25 × 1,634.26
  4. Step 4: Simplify right side
    6,016.71x = 14,749,605.07
  5. Step 5: Solve for x
    x = 14,749,605.07/6,016.71
  6. Step 6: Final answer
    x = 2,451.44

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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.