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Finding the Fourth Proportional to 27,682.88, 41,518.74 and 7,956.80

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Solution

The fourth proportional to 27,682.88, 41,518.74 and 7,956.80 is: 11,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.88 : 41,518.74 = 7,956.80 : x
  2. Step 2: Convert to fraction form
    27,682.88/41,518.74 = 7,956.80/x
  3. Step 3: Cross multiply
    27,682.88x = 41,518.74 × 7,956.80
  4. Step 4: Simplify right side
    27,682.88x = 330,356,310.43
  5. Step 5: Solve for x
    x = 330,356,310.43/27,682.88
  6. Step 6: Final answer
    x = 11,933.60

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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.