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Finding the Fourth Proportional to 6,855.38, 9,460.49 and 3,711.63

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Solution

The fourth proportional to 6,855.38, 9,460.49 and 3,711.63 is: 5,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.38 : 9,460.49 = 3,711.63 : x
  2. Step 2: Convert to fraction form
    6,855.38/9,460.49 = 3,711.63/x
  3. Step 3: Cross multiply
    6,855.38x = 9,460.49 × 3,711.63
  4. Step 4: Simplify right side
    6,855.38x = 35,113,819.94
  5. Step 5: Solve for x
    x = 35,113,819.94/6,855.38
  6. Step 6: Final answer
    x = 5,122.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.