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Finding the Fourth Proportional to 22,309.34, 33,467.09 and 7,522.49

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Solution

The fourth proportional to 22,309.34, 33,467.09 and 7,522.49 is: 11,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.34 : 33,467.09 = 7,522.49 : x
  2. Step 2: Convert to fraction form
    22,309.34/33,467.09 = 7,522.49/x
  3. Step 3: Cross multiply
    22,309.34x = 33,467.09 × 7,522.49
  4. Step 4: Simplify right side
    22,309.34x = 251,755,644.91
  5. Step 5: Solve for x
    x = 251,755,644.91/22,309.34
  6. Step 6: Final answer
    x = 11,284.77

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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.