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Finding the Fourth Proportional to 6,809.87, 10,203.17 and 3,301.56

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Solution

The fourth proportional to 6,809.87, 10,203.17 and 3,301.56 is: 4,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.87 : 10,203.17 = 3,301.56 : x
  2. Step 2: Convert to fraction form
    6,809.87/10,203.17 = 3,301.56/x
  3. Step 3: Cross multiply
    6,809.87x = 10,203.17 × 3,301.56
  4. Step 4: Simplify right side
    6,809.87x = 33,686,361.44
  5. Step 5: Solve for x
    x = 33,686,361.44/6,809.87
  6. Step 6: Final answer
    x = 4,946.69

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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.