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Finding the Fourth Proportional to 27,794.70, 41,699.34 and 8,072.82

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Solution

The fourth proportional to 27,794.70, 41,699.34 and 8,072.82 is: 12,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.70 : 41,699.34 = 8,072.82 : x
  2. Step 2: Convert to fraction form
    27,794.70/41,699.34 = 8,072.82/x
  3. Step 3: Cross multiply
    27,794.70x = 41,699.34 × 8,072.82
  4. Step 4: Simplify right side
    27,794.70x = 336,631,265.94
  5. Step 5: Solve for x
    x = 336,631,265.94/27,794.70
  6. Step 6: Final answer
    x = 12,111.35

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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.