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Finding the Fourth Proportional to 6,780.44, 9,357.09 and 3,796.22

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Solution

The fourth proportional to 6,780.44, 9,357.09 and 3,796.22 is: 5,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.44 : 9,357.09 = 3,796.22 : x
  2. Step 2: Convert to fraction form
    6,780.44/9,357.09 = 3,796.22/x
  3. Step 3: Cross multiply
    6,780.44x = 9,357.09 × 3,796.22
  4. Step 4: Simplify right side
    6,780.44x = 35,521,572.20
  5. Step 5: Solve for x
    x = 35,521,572.20/6,780.44
  6. Step 6: Final answer
    x = 5,238.83

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1.5x scale

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.