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Finding the Fourth Proportional to 10,694.27, 16,042.26 and 3,671.48

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Solution

The fourth proportional to 10,694.27, 16,042.26 and 3,671.48 is: 5,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.27 : 16,042.26 = 3,671.48 : x
  2. Step 2: Convert to fraction form
    10,694.27/16,042.26 = 3,671.48/x
  3. Step 3: Cross multiply
    10,694.27x = 16,042.26 × 3,671.48
  4. Step 4: Simplify right side
    10,694.27x = 58,898,836.74
  5. Step 5: Solve for x
    x = 58,898,836.74/10,694.27
  6. Step 6: Final answer
    x = 5,507.51

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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.