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Finding the Fourth Proportional to 8,122.63, 12,183.95 and 1,966.63

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Solution

The fourth proportional to 8,122.63, 12,183.95 and 1,966.63 is: 2,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.63 : 12,183.95 = 1,966.63 : x
  2. Step 2: Convert to fraction form
    8,122.63/12,183.95 = 1,966.63/x
  3. Step 3: Cross multiply
    8,122.63x = 12,183.95 × 1,966.63
  4. Step 4: Simplify right side
    8,122.63x = 23,961,321.59
  5. Step 5: Solve for x
    x = 23,961,321.59/8,122.63
  6. Step 6: Final answer
    x = 2,949.95

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Double scale
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Similar ratio
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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.