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Finding the Fourth Proportional to 6,794.77, 9,377.10 and 3,961.12

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Solution

The fourth proportional to 6,794.77, 9,377.10 and 3,961.12 is: 5,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.77 : 9,377.10 = 3,961.12 : x
  2. Step 2: Convert to fraction form
    6,794.77/9,377.10 = 3,961.12/x
  3. Step 3: Cross multiply
    6,794.77x = 9,377.10 × 3,961.12
  4. Step 4: Simplify right side
    6,794.77x = 37,143,818.35
  5. Step 5: Solve for x
    x = 37,143,818.35/6,794.77
  6. Step 6: Final answer
    x = 5,466.53

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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.