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Finding the Fourth Proportional to 22,585.84, 33,876.33 and 7,793.08

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Solution

The fourth proportional to 22,585.84, 33,876.33 and 7,793.08 is: 11,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.84 : 33,876.33 = 7,793.08 : x
  2. Step 2: Convert to fraction form
    22,585.84/33,876.33 = 7,793.08/x
  3. Step 3: Cross multiply
    22,585.84x = 33,876.33 × 7,793.08
  4. Step 4: Simplify right side
    22,585.84x = 264,000,949.80
  5. Step 5: Solve for x
    x = 264,000,949.80/22,585.84
  6. Step 6: Final answer
    x = 11,688.78

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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.