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Finding the Fourth Proportional to 8,510.78, 12,766.17 and 2,667.84

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Solution

The fourth proportional to 8,510.78, 12,766.17 and 2,667.84 is: 4,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.78 : 12,766.17 = 2,667.84 : x
  2. Step 2: Convert to fraction form
    8,510.78/12,766.17 = 2,667.84/x
  3. Step 3: Cross multiply
    8,510.78x = 12,766.17 × 2,667.84
  4. Step 4: Simplify right side
    8,510.78x = 34,058,098.97
  5. Step 5: Solve for x
    x = 34,058,098.97/8,510.78
  6. Step 6: Final answer
    x = 4,001.76

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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.