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Finding the Fourth Proportional to 33,206.66, 49,817.26 and 9,834.92

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Solution

The fourth proportional to 33,206.66, 49,817.26 and 9,834.92 is: 14,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,206.66 : 49,817.26 = 9,834.92 : x
  2. Step 2: Convert to fraction form
    33,206.66/49,817.26 = 9,834.92/x
  3. Step 3: Cross multiply
    33,206.66x = 49,817.26 × 9,834.92
  4. Step 4: Simplify right side
    33,206.66x = 489,948,766.72
  5. Step 5: Solve for x
    x = 489,948,766.72/33,206.66
  6. Step 6: Final answer
    x = 14,754.53

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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.