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Finding the Fourth Proportional to 27,997.86, 41,995.74 and 6,937.97

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Solution

The fourth proportional to 27,997.86, 41,995.74 and 6,937.97 is: 10,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.86 : 41,995.74 = 6,937.97 : x
  2. Step 2: Convert to fraction form
    27,997.86/41,995.74 = 6,937.97/x
  3. Step 3: Cross multiply
    27,997.86x = 41,995.74 × 6,937.97
  4. Step 4: Simplify right side
    27,997.86x = 291,365,000.29
  5. Step 5: Solve for x
    x = 291,365,000.29/27,997.86
  6. Step 6: Final answer
    x = 10,406.69

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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.