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Finding the Fourth Proportional to 4,663.75, 6,995.62 and 3,198.46

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Solution

The fourth proportional to 4,663.75, 6,995.62 and 3,198.46 is: 4,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.75 : 6,995.62 = 3,198.46 : x
  2. Step 2: Convert to fraction form
    4,663.75/6,995.62 = 3,198.46/x
  3. Step 3: Cross multiply
    4,663.75x = 6,995.62 × 3,198.46
  4. Step 4: Simplify right side
    4,663.75x = 22,375,197.25
  5. Step 5: Solve for x
    x = 22,375,197.25/4,663.75
  6. Step 6: Final answer
    x = 4,797.69

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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.