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Finding the Fourth Proportional to 27,682.80, 41,524.20 and 9,214.80

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Solution

The fourth proportional to 27,682.80, 41,524.20 and 9,214.80 is: 13,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.80 : 41,524.20 = 9,214.80 : x
  2. Step 2: Convert to fraction form
    27,682.80/41,524.20 = 9,214.80/x
  3. Step 3: Cross multiply
    27,682.80x = 41,524.20 × 9,214.80
  4. Step 4: Simplify right side
    27,682.80x = 382,637,198.16
  5. Step 5: Solve for x
    x = 382,637,198.16/27,682.80
  6. Step 6: Final answer
    x = 13,822.20

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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.