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Finding the Fourth Proportional to 27,863.69, 41,795.37 and 6,803.84

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Solution

The fourth proportional to 27,863.69, 41,795.37 and 6,803.84 is: 10,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,863.69 : 41,795.37 = 6,803.84 : x
  2. Step 2: Convert to fraction form
    27,863.69/41,795.37 = 6,803.84/x
  3. Step 3: Cross multiply
    27,863.69x = 41,795.37 × 6,803.84
  4. Step 4: Simplify right side
    27,863.69x = 284,368,801.24
  5. Step 5: Solve for x
    x = 284,368,801.24/27,863.69
  6. Step 6: Final answer
    x = 10,205.71

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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.