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Finding the Fourth Proportional to 27,499.68, 41,244.26 and 7,773.48

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Solution

The fourth proportional to 27,499.68, 41,244.26 and 7,773.48 is: 11,658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,499.68 : 41,244.26 = 7,773.48 : x
  2. Step 2: Convert to fraction form
    27,499.68/41,244.26 = 7,773.48/x
  3. Step 3: Cross multiply
    27,499.68x = 41,244.26 × 7,773.48
  4. Step 4: Simplify right side
    27,499.68x = 320,611,391.36
  5. Step 5: Solve for x
    x = 320,611,391.36/27,499.68
  6. Step 6: Final answer
    x = 11,658.73

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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.