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Finding the Fourth Proportional to 22,097.08, 33,144.52 and 8,245

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Solution

The fourth proportional to 22,097.08, 33,144.52 and 8,245 is: 12,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.08 : 33,144.52 = 8,245 : x
  2. Step 2: Convert to fraction form
    22,097.08/33,144.52 = 8,245/x
  3. Step 3: Cross multiply
    22,097.08x = 33,144.52 × 8,245
  4. Step 4: Simplify right side
    22,097.08x = 273,276,567.40
  5. Step 5: Solve for x
    x = 273,276,567.40/22,097.08
  6. Step 6: Final answer
    x = 12,367.09

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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.