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Finding the Fourth Proportional to 6,383.87, 9,581.60 and 3,266.03

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Solution

The fourth proportional to 6,383.87, 9,581.60 and 3,266.03 is: 4,902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.87 : 9,581.60 = 3,266.03 : x
  2. Step 2: Convert to fraction form
    6,383.87/9,581.60 = 3,266.03/x
  3. Step 3: Cross multiply
    6,383.87x = 9,581.60 × 3,266.03
  4. Step 4: Simplify right side
    6,383.87x = 31,293,825.17
  5. Step 5: Solve for x
    x = 31,293,825.17/6,383.87
  6. Step 6: Final answer
    x = 4,902.01

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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.