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Finding the Fourth Proportional to 6,146.25, 8,481.83 and 3,493.66

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Solution

The fourth proportional to 6,146.25, 8,481.83 and 3,493.66 is: 4,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.25 : 8,481.83 = 3,493.66 : x
  2. Step 2: Convert to fraction form
    6,146.25/8,481.83 = 3,493.66/x
  3. Step 3: Cross multiply
    6,146.25x = 8,481.83 × 3,493.66
  4. Step 4: Simplify right side
    6,146.25x = 29,632,600.26
  5. Step 5: Solve for x
    x = 29,632,600.26/6,146.25
  6. Step 6: Final answer
    x = 4,821.25

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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.