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Finding the Fourth Proportional to 22,311.34, 33,470.09 and 7,524.49

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Solution

The fourth proportional to 22,311.34, 33,470.09 and 7,524.49 is: 11,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,311.34 : 33,470.09 = 7,524.49 : x
  2. Step 2: Convert to fraction form
    22,311.34/33,470.09 = 7,524.49/x
  3. Step 3: Cross multiply
    22,311.34x = 33,470.09 × 7,524.49
  4. Step 4: Simplify right side
    22,311.34x = 251,845,357.50
  5. Step 5: Solve for x
    x = 251,845,357.50/22,311.34
  6. Step 6: Final answer
    x = 11,287.77

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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.