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Finding the Fourth Proportional to 6,892, 9,511.22 and 3,907.80

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Solution

The fourth proportional to 6,892, 9,511.22 and 3,907.80 is: 5,392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892 : 9,511.22 = 3,907.80 : x
  2. Step 2: Convert to fraction form
    6,892/9,511.22 = 3,907.80/x
  3. Step 3: Cross multiply
    6,892x = 9,511.22 × 3,907.80
  4. Step 4: Simplify right side
    6,892x = 37,167,945.52
  5. Step 5: Solve for x
    x = 37,167,945.52/6,892
  6. Step 6: Final answer
    x = 5,392.91

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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.