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Finding the Fourth Proportional to 6,665.12, 9,997.44 and 2,048

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Solution

The fourth proportional to 6,665.12, 9,997.44 and 2,048 is: 3,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.12 : 9,997.44 = 2,048 : x
  2. Step 2: Convert to fraction form
    6,665.12/9,997.44 = 2,048/x
  3. Step 3: Cross multiply
    6,665.12x = 9,997.44 × 2,048
  4. Step 4: Simplify right side
    6,665.12x = 20,474,757.12
  5. Step 5: Solve for x
    x = 20,474,757.12/6,665.12
  6. Step 6: Final answer
    x = 3,071.93

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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.