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Finding the Fourth Proportional to 22,584.50, 33,876.76 and 6,168.50

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Solution

The fourth proportional to 22,584.50, 33,876.76 and 6,168.50 is: 9,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.50 : 33,876.76 = 6,168.50 : x
  2. Step 2: Convert to fraction form
    22,584.50/33,876.76 = 6,168.50/x
  3. Step 3: Cross multiply
    22,584.50x = 33,876.76 × 6,168.50
  4. Step 4: Simplify right side
    22,584.50x = 208,968,794.06
  5. Step 5: Solve for x
    x = 208,968,794.06/22,584.50
  6. Step 6: Final answer
    x = 9,252.75

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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.