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Finding the Fourth Proportional to 4,640.28, 6,961.34 and 4,175.54

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Solution

The fourth proportional to 4,640.28, 6,961.34 and 4,175.54 is: 6,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.28 : 6,961.34 = 4,175.54 : x
  2. Step 2: Convert to fraction form
    4,640.28/6,961.34 = 4,175.54/x
  3. Step 3: Cross multiply
    4,640.28x = 6,961.34 × 4,175.54
  4. Step 4: Simplify right side
    4,640.28x = 29,067,353.62
  5. Step 5: Solve for x
    x = 29,067,353.62/4,640.28
  6. Step 6: Final answer
    x = 6,264.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.