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Finding the Fourth Proportional to 6,683.82, 10,027.35 and 2,066.82

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Solution

The fourth proportional to 6,683.82, 10,027.35 and 2,066.82 is: 3,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.82 : 10,027.35 = 2,066.82 : x
  2. Step 2: Convert to fraction form
    6,683.82/10,027.35 = 2,066.82/x
  3. Step 3: Cross multiply
    6,683.82x = 10,027.35 × 2,066.82
  4. Step 4: Simplify right side
    6,683.82x = 20,724,727.53
  5. Step 5: Solve for x
    x = 20,724,727.53/6,683.82
  6. Step 6: Final answer
    x = 3,100.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.