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Finding the Fourth Proportional to 27,997.50, 41,997.06 and 7,221

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Solution

The fourth proportional to 27,997.50, 41,997.06 and 7,221 is: 10,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.50 : 41,997.06 = 7,221 : x
  2. Step 2: Convert to fraction form
    27,997.50/41,997.06 = 7,221/x
  3. Step 3: Cross multiply
    27,997.50x = 41,997.06 × 7,221
  4. Step 4: Simplify right side
    27,997.50x = 303,260,770.26
  5. Step 5: Solve for x
    x = 303,260,770.26/27,997.50
  6. Step 6: Final answer
    x = 10,831.71

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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.