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Finding the Fourth Proportional to 22,584.84, 33,874.83 and 7,792.08

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Solution

The fourth proportional to 22,584.84, 33,874.83 and 7,792.08 is: 11,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.84 : 33,874.83 = 7,792.08 : x
  2. Step 2: Convert to fraction form
    22,584.84/33,874.83 = 7,792.08/x
  3. Step 3: Cross multiply
    22,584.84x = 33,874.83 × 7,792.08
  4. Step 4: Simplify right side
    22,584.84x = 263,955,385.35
  5. Step 5: Solve for x
    x = 263,955,385.35/22,584.84
  6. Step 6: Final answer
    x = 11,687.28

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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.