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Finding the Fourth Proportional to 27,771.70, 41,662.26 and 9,046.38

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Solution

The fourth proportional to 27,771.70, 41,662.26 and 9,046.38 is: 13,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.70 : 41,662.26 = 9,046.38 : x
  2. Step 2: Convert to fraction form
    27,771.70/41,662.26 = 9,046.38/x
  3. Step 3: Cross multiply
    27,771.70x = 41,662.26 × 9,046.38
  4. Step 4: Simplify right side
    27,771.70x = 376,892,635.62
  5. Step 5: Solve for x
    x = 376,892,635.62/27,771.70
  6. Step 6: Final answer
    x = 13,571.10

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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.