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Finding the Fourth Proportional to 27,843.24, 41,764.24 and 6,783.38

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Solution

The fourth proportional to 27,843.24, 41,764.24 and 6,783.38 is: 10,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.24 : 41,764.24 = 6,783.38 : x
  2. Step 2: Convert to fraction form
    27,843.24/41,764.24 = 6,783.38/x
  3. Step 3: Cross multiply
    27,843.24x = 41,764.24 × 6,783.38
  4. Step 4: Simplify right side
    27,843.24x = 283,302,666.61
  5. Step 5: Solve for x
    x = 283,302,666.61/27,843.24
  6. Step 6: Final answer
    x = 10,174.92

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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.