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Finding the Fourth Proportional to 6,787.97, 10,181.97 and 1,857.66

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Solution

The fourth proportional to 6,787.97, 10,181.97 and 1,857.66 is: 2,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.97 : 10,181.97 = 1,857.66 : x
  2. Step 2: Convert to fraction form
    6,787.97/10,181.97 = 1,857.66/x
  3. Step 3: Cross multiply
    6,787.97x = 10,181.97 × 1,857.66
  4. Step 4: Simplify right side
    6,787.97x = 18,914,638.39
  5. Step 5: Solve for x
    x = 18,914,638.39/6,787.97
  6. Step 6: Final answer
    x = 2,786.49

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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.