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Finding the Fourth Proportional to 6,758.46, 9,321.90 and 3,963.96

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Solution

The fourth proportional to 6,758.46, 9,321.90 and 3,963.96 is: 5,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.46 : 9,321.90 = 3,963.96 : x
  2. Step 2: Convert to fraction form
    6,758.46/9,321.90 = 3,963.96/x
  3. Step 3: Cross multiply
    6,758.46x = 9,321.90 × 3,963.96
  4. Step 4: Simplify right side
    6,758.46x = 36,951,638.72
  5. Step 5: Solve for x
    x = 36,951,638.72/6,758.46
  6. Step 6: Final answer
    x = 5,467.46

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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.