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Finding the Fourth Proportional to 4,850.64, 6,695.31 and 4,194.54

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Solution

The fourth proportional to 4,850.64, 6,695.31 and 4,194.54 is: 5,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850.64 : 6,695.31 = 4,194.54 : x
  2. Step 2: Convert to fraction form
    4,850.64/6,695.31 = 4,194.54/x
  3. Step 3: Cross multiply
    4,850.64x = 6,695.31 × 4,194.54
  4. Step 4: Simplify right side
    4,850.64x = 28,083,745.61
  5. Step 5: Solve for x
    x = 28,083,745.61/4,850.64
  6. Step 6: Final answer
    x = 5,789.70

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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.