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Finding the Fourth Proportional to 27,997.84, 41,996.49 and 8,276.77

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Solution

The fourth proportional to 27,997.84, 41,996.49 and 8,276.77 is: 12,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.84 : 41,996.49 = 8,276.77 : x
  2. Step 2: Convert to fraction form
    27,997.84/41,996.49 = 8,276.77/x
  3. Step 3: Cross multiply
    27,997.84x = 41,996.49 × 8,276.77
  4. Step 4: Simplify right side
    27,997.84x = 347,595,288.54
  5. Step 5: Solve for x
    x = 347,595,288.54/27,997.84
  6. Step 6: Final answer
    x = 12,415.08

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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.