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Finding the Fourth Proportional to 22,504.82, 33,761.99 and 7,709.76

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Solution

The fourth proportional to 22,504.82, 33,761.99 and 7,709.76 is: 11,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.82 : 33,761.99 = 7,709.76 : x
  2. Step 2: Convert to fraction form
    22,504.82/33,761.99 = 7,709.76/x
  3. Step 3: Cross multiply
    22,504.82x = 33,761.99 × 7,709.76
  4. Step 4: Simplify right side
    22,504.82x = 260,296,859.30
  5. Step 5: Solve for x
    x = 260,296,859.30/22,504.82
  6. Step 6: Final answer
    x = 11,566.27

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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.