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Finding the Fourth Proportional to 27,692.80, 41,555.82 and 9,922.12

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Solution

The fourth proportional to 27,692.80, 41,555.82 and 9,922.12 is: 14,889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.80 : 41,555.82 = 9,922.12 : x
  2. Step 2: Convert to fraction form
    27,692.80/41,555.82 = 9,922.12/x
  3. Step 3: Cross multiply
    27,692.80x = 41,555.82 × 9,922.12
  4. Step 4: Simplify right side
    27,692.80x = 412,321,832.74
  5. Step 5: Solve for x
    x = 412,321,832.74/27,692.80
  6. Step 6: Final answer
    x = 14,889.13

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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.