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Finding the Fourth Proportional to 8,107.80, 12,162.10 and 4,219.80

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Solution

The fourth proportional to 8,107.80, 12,162.10 and 4,219.80 is: 6,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.80 : 12,162.10 = 4,219.80 : x
  2. Step 2: Convert to fraction form
    8,107.80/12,162.10 = 4,219.80/x
  3. Step 3: Cross multiply
    8,107.80x = 12,162.10 × 4,219.80
  4. Step 4: Simplify right side
    8,107.80x = 51,321,629.58
  5. Step 5: Solve for x
    x = 51,321,629.58/8,107.80
  6. Step 6: Final answer
    x = 6,329.91

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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.