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Finding the Fourth Proportional to 4,766.12, 7,146.82 and 1,991.96

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Solution

The fourth proportional to 4,766.12, 7,146.82 and 1,991.96 is: 2,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.12 : 7,146.82 = 1,991.96 : x
  2. Step 2: Convert to fraction form
    4,766.12/7,146.82 = 1,991.96/x
  3. Step 3: Cross multiply
    4,766.12x = 7,146.82 × 1,991.96
  4. Step 4: Simplify right side
    4,766.12x = 14,236,179.57
  5. Step 5: Solve for x
    x = 14,236,179.57/4,766.12
  6. Step 6: Final answer
    x = 2,986.95

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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.