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Finding the Fourth Proportional to 27,937.96, 41,897.98 and 9,213.79

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Solution

The fourth proportional to 27,937.96, 41,897.98 and 9,213.79 is: 13,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.96 : 41,897.98 = 9,213.79 : x
  2. Step 2: Convert to fraction form
    27,937.96/41,897.98 = 9,213.79/x
  3. Step 3: Cross multiply
    27,937.96x = 41,897.98 × 9,213.79
  4. Step 4: Simplify right side
    27,937.96x = 386,039,189.14
  5. Step 5: Solve for x
    x = 386,039,189.14/27,937.96
  6. Step 6: Final answer
    x = 13,817.73

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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.