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Finding the Fourth Proportional to 27,884.92, 41,827.13 and 6,825.05

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Solution

The fourth proportional to 27,884.92, 41,827.13 and 6,825.05 is: 10,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.92 : 41,827.13 = 6,825.05 : x
  2. Step 2: Convert to fraction form
    27,884.92/41,827.13 = 6,825.05/x
  3. Step 3: Cross multiply
    27,884.92x = 41,827.13 × 6,825.05
  4. Step 4: Simplify right side
    27,884.92x = 285,472,219.48
  5. Step 5: Solve for x
    x = 285,472,219.48/27,884.92
  6. Step 6: Final answer
    x = 10,237.51

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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.