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Finding the Fourth Proportional to 22,536.12, 33,805.02 and 7,755.24

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Solution

The fourth proportional to 22,536.12, 33,805.02 and 7,755.24 is: 11,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.12 : 33,805.02 = 7,755.24 : x
  2. Step 2: Convert to fraction form
    22,536.12/33,805.02 = 7,755.24/x
  3. Step 3: Cross multiply
    22,536.12x = 33,805.02 × 7,755.24
  4. Step 4: Simplify right side
    22,536.12x = 262,166,043.30
  5. Step 5: Solve for x
    x = 262,166,043.30/22,536.12
  6. Step 6: Final answer
    x = 11,633.15

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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.