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Finding the Fourth Proportional to 6,683.80, 10,027.32 and 2,003.80

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Solution

The fourth proportional to 6,683.80, 10,027.32 and 2,003.80 is: 3,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.80 : 10,027.32 = 2,003.80 : x
  2. Step 2: Convert to fraction form
    6,683.80/10,027.32 = 2,003.80/x
  3. Step 3: Cross multiply
    6,683.80x = 10,027.32 × 2,003.80
  4. Step 4: Simplify right side
    6,683.80x = 20,092,743.82
  5. Step 5: Solve for x
    x = 20,092,743.82/6,683.80
  6. Step 6: Final answer
    x = 3,006.19

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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.