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Finding the Fourth Proportional to 6,786.77, 9,370.31 and 4,238.42

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Solution

The fourth proportional to 6,786.77, 9,370.31 and 4,238.42 is: 5,851.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.77 : 9,370.31 = 4,238.42 : x
  2. Step 2: Convert to fraction form
    6,786.77/9,370.31 = 4,238.42/x
  3. Step 3: Cross multiply
    6,786.77x = 9,370.31 × 4,238.42
  4. Step 4: Simplify right side
    6,786.77x = 39,715,273.05
  5. Step 5: Solve for x
    x = 39,715,273.05/6,786.77
  6. Step 6: Final answer
    x = 5,851.87

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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.