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Finding the Fourth Proportional to 6,682.42, 10,016.74 and 2,297.49

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Solution

The fourth proportional to 6,682.42, 10,016.74 and 2,297.49 is: 3,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.42 : 10,016.74 = 2,297.49 : x
  2. Step 2: Convert to fraction form
    6,682.42/10,016.74 = 2,297.49/x
  3. Step 3: Cross multiply
    6,682.42x = 10,016.74 × 2,297.49
  4. Step 4: Simplify right side
    6,682.42x = 23,013,359.98
  5. Step 5: Solve for x
    x = 23,013,359.98/6,682.42
  6. Step 6: Final answer
    x = 3,443.87

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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.