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Finding the Fourth Proportional to 27,249.92, 37,608.25 and 15,313

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Solution

The fourth proportional to 27,249.92, 37,608.25 and 15,313 is: 21,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,249.92 : 37,608.25 = 15,313 : x
  2. Step 2: Convert to fraction form
    27,249.92/37,608.25 = 15,313/x
  3. Step 3: Cross multiply
    27,249.92x = 37,608.25 × 15,313
  4. Step 4: Simplify right side
    27,249.92x = 575,895,132.25
  5. Step 5: Solve for x
    x = 575,895,132.25/27,249.92
  6. Step 6: Final answer
    x = 21,133.83

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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.