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Finding the Fourth Proportional to 33,098.84, 49,648.78 and 9,725.80

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Solution

The fourth proportional to 33,098.84, 49,648.78 and 9,725.80 is: 14,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098.84 : 49,648.78 = 9,725.80 : x
  2. Step 2: Convert to fraction form
    33,098.84/49,648.78 = 9,725.80/x
  3. Step 3: Cross multiply
    33,098.84x = 49,648.78 × 9,725.80
  4. Step 4: Simplify right side
    33,098.84x = 482,874,104.52
  5. Step 5: Solve for x
    x = 482,874,104.52/33,098.84
  6. Step 6: Final answer
    x = 14,588.85

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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.