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Finding the Fourth Proportional to 6,494.66, 8,963.30 and 3,978.44

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Solution

The fourth proportional to 6,494.66, 8,963.30 and 3,978.44 is: 5,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.66 : 8,963.30 = 3,978.44 : x
  2. Step 2: Convert to fraction form
    6,494.66/8,963.30 = 3,978.44/x
  3. Step 3: Cross multiply
    6,494.66x = 8,963.30 × 3,978.44
  4. Step 4: Simplify right side
    6,494.66x = 35,659,951.25
  5. Step 5: Solve for x
    x = 35,659,951.25/6,494.66
  6. Step 6: Final answer
    x = 5,490.66

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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.