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Finding the Fourth Proportional to 8,112.73, 12,169.10 and 1,956.73

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Solution

The fourth proportional to 8,112.73, 12,169.10 and 1,956.73 is: 2,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.73 : 12,169.10 = 1,956.73 : x
  2. Step 2: Convert to fraction form
    8,112.73/12,169.10 = 1,956.73/x
  3. Step 3: Cross multiply
    8,112.73x = 12,169.10 × 1,956.73
  4. Step 4: Simplify right side
    8,112.73x = 23,811,643.04
  5. Step 5: Solve for x
    x = 23,811,643.04/8,112.73
  6. Step 6: Final answer
    x = 2,935.10

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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.