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Finding the Fourth Proportional to 27,494.83, 41,232.67 and 7,768.09

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Solution

The fourth proportional to 27,494.83, 41,232.67 and 7,768.09 is: 11,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.83 : 41,232.67 = 7,768.09 : x
  2. Step 2: Convert to fraction form
    27,494.83/41,232.67 = 7,768.09/x
  3. Step 3: Cross multiply
    27,494.83x = 41,232.67 × 7,768.09
  4. Step 4: Simplify right side
    27,494.83x = 320,298,969.00
  5. Step 5: Solve for x
    x = 320,298,969.00/27,494.83
  6. Step 6: Final answer
    x = 11,649.43

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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.