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Finding the Fourth Proportional to 27,247.92, 37,605.49 and 15,311

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Solution

The fourth proportional to 27,247.92, 37,605.49 and 15,311 is: 21,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,247.92 : 37,605.49 = 15,311 : x
  2. Step 2: Convert to fraction form
    27,247.92/37,605.49 = 15,311/x
  3. Step 3: Cross multiply
    27,247.92x = 37,605.49 × 15,311
  4. Step 4: Simplify right side
    27,247.92x = 575,777,657.39
  5. Step 5: Solve for x
    x = 575,777,657.39/27,247.92
  6. Step 6: Final answer
    x = 21,131.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.