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Finding the Fourth Proportional to 22,509.75, 33,764.99 and 7,729.04

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Solution

The fourth proportional to 22,509.75, 33,764.99 and 7,729.04 is: 11,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.75 : 33,764.99 = 7,729.04 : x
  2. Step 2: Convert to fraction form
    22,509.75/33,764.99 = 7,729.04/x
  3. Step 3: Cross multiply
    22,509.75x = 33,764.99 × 7,729.04
  4. Step 4: Simplify right side
    22,509.75x = 260,970,814.15
  5. Step 5: Solve for x
    x = 260,970,814.15/22,509.75
  6. Step 6: Final answer
    x = 11,593.68

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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.