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Finding the Fourth Proportional to 22,097.46, 33,141.87 and 8,243.70

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Solution

The fourth proportional to 22,097.46, 33,141.87 and 8,243.70 is: 12,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.46 : 33,141.87 = 8,243.70 : x
  2. Step 2: Convert to fraction form
    22,097.46/33,141.87 = 8,243.70/x
  3. Step 3: Cross multiply
    22,097.46x = 33,141.87 × 8,243.70
  4. Step 4: Simplify right side
    22,097.46x = 273,211,633.72
  5. Step 5: Solve for x
    x = 273,211,633.72/22,097.46
  6. Step 6: Final answer
    x = 12,363.94

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Half scale
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Double scale
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Similar ratio
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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.