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Finding the Fourth Proportional to 27,998.38, 41,998.14 and 8,276.94

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Solution

The fourth proportional to 27,998.38, 41,998.14 and 8,276.94 is: 12,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.38 : 41,998.14 = 8,276.94 : x
  2. Step 2: Convert to fraction form
    27,998.38/41,998.14 = 8,276.94/x
  3. Step 3: Cross multiply
    27,998.38x = 41,998.14 × 8,276.94
  4. Step 4: Simplify right side
    27,998.38x = 347,616,084.89
  5. Step 5: Solve for x
    x = 347,616,084.89/27,998.38
  6. Step 6: Final answer
    x = 12,415.58

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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.