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Finding the Fourth Proportional to 6,016.21, 9,024.50 and 1,633.76

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Solution

The fourth proportional to 6,016.21, 9,024.50 and 1,633.76 is: 2,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.21 : 9,024.50 = 1,633.76 : x
  2. Step 2: Convert to fraction form
    6,016.21/9,024.50 = 1,633.76/x
  3. Step 3: Cross multiply
    6,016.21x = 9,024.50 × 1,633.76
  4. Step 4: Simplify right side
    6,016.21x = 14,743,867.12
  5. Step 5: Solve for x
    x = 14,743,867.12/6,016.21
  6. Step 6: Final answer
    x = 2,450.69

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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.