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Finding the Fourth Proportional to 8,181.80, 12,272.70 and 3,797.80

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Solution

The fourth proportional to 8,181.80, 12,272.70 and 3,797.80 is: 5,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.80 : 12,272.70 = 3,797.80 : x
  2. Step 2: Convert to fraction form
    8,181.80/12,272.70 = 3,797.80/x
  3. Step 3: Cross multiply
    8,181.80x = 12,272.70 × 3,797.80
  4. Step 4: Simplify right side
    8,181.80x = 46,609,260.06
  5. Step 5: Solve for x
    x = 46,609,260.06/8,181.80
  6. Step 6: Final answer
    x = 5,696.70

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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.