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Finding the Fourth Proportional to 4,766.58, 7,149.81 and 1,954.78

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Solution

The fourth proportional to 4,766.58, 7,149.81 and 1,954.78 is: 2,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.58 : 7,149.81 = 1,954.78 : x
  2. Step 2: Convert to fraction form
    4,766.58/7,149.81 = 1,954.78/x
  3. Step 3: Cross multiply
    4,766.58x = 7,149.81 × 1,954.78
  4. Step 4: Simplify right side
    4,766.58x = 13,976,305.59
  5. Step 5: Solve for x
    x = 13,976,305.59/4,766.58
  6. Step 6: Final answer
    x = 2,932.15

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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.