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Finding the Fourth Proportional to 22,523.20, 33,784.98 and 6,940.96

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Solution

The fourth proportional to 22,523.20, 33,784.98 and 6,940.96 is: 10,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.20 : 33,784.98 = 6,940.96 : x
  2. Step 2: Convert to fraction form
    22,523.20/33,784.98 = 6,940.96/x
  3. Step 3: Cross multiply
    22,523.20x = 33,784.98 × 6,940.96
  4. Step 4: Simplify right side
    22,523.20x = 234,500,194.78
  5. Step 5: Solve for x
    x = 234,500,194.78/22,523.20
  6. Step 6: Final answer
    x = 10,411.50

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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.