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Finding the Fourth Proportional to 6,449.16, 9,675 and 2,066.28

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Solution

The fourth proportional to 6,449.16, 9,675 and 2,066.28 is: 3,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.16 : 9,675 = 2,066.28 : x
  2. Step 2: Convert to fraction form
    6,449.16/9,675 = 2,066.28/x
  3. Step 3: Cross multiply
    6,449.16x = 9,675 × 2,066.28
  4. Step 4: Simplify right side
    6,449.16x = 19,991,259.00
  5. Step 5: Solve for x
    x = 19,991,259.00/6,449.16
  6. Step 6: Final answer
    x = 3,099.82

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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.