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Finding the Fourth Proportional to 22,105.68, 33,163.54 and 7,314.58

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Solution

The fourth proportional to 22,105.68, 33,163.54 and 7,314.58 is: 10,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.68 : 33,163.54 = 7,314.58 : x
  2. Step 2: Convert to fraction form
    22,105.68/33,163.54 = 7,314.58/x
  3. Step 3: Cross multiply
    22,105.68x = 33,163.54 × 7,314.58
  4. Step 4: Simplify right side
    22,105.68x = 242,577,366.41
  5. Step 5: Solve for x
    x = 242,577,366.41/22,105.68
  6. Step 6: Final answer
    x = 10,973.53

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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.