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Finding the Fourth Proportional to 6,786.59, 9,371.90 and 6,418.44

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Solution

The fourth proportional to 6,786.59, 9,371.90 and 6,418.44 is: 8,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.59 : 9,371.90 = 6,418.44 : x
  2. Step 2: Convert to fraction form
    6,786.59/9,371.90 = 6,418.44/x
  3. Step 3: Cross multiply
    6,786.59x = 9,371.90 × 6,418.44
  4. Step 4: Simplify right side
    6,786.59x = 60,152,993.88
  5. Step 5: Solve for x
    x = 60,152,993.88/6,786.59
  6. Step 6: Final answer
    x = 8,863.51

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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.