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Finding the Fourth Proportional to 27,996.30, 41,982.30 and 9,269.10

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Solution

The fourth proportional to 27,996.30, 41,982.30 and 9,269.10 is: 13,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.30 : 41,982.30 = 9,269.10 : x
  2. Step 2: Convert to fraction form
    27,996.30/41,982.30 = 9,269.10/x
  3. Step 3: Cross multiply
    27,996.30x = 41,982.30 × 9,269.10
  4. Step 4: Simplify right side
    27,996.30x = 389,138,136.93
  5. Step 5: Solve for x
    x = 389,138,136.93/27,996.30
  6. Step 6: Final answer
    x = 13,899.63

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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.