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Finding the Fourth Proportional to 27,892.81, 41,838.93 and 6,832.94

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Solution

The fourth proportional to 27,892.81, 41,838.93 and 6,832.94 is: 10,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.81 : 41,838.93 = 6,832.94 : x
  2. Step 2: Convert to fraction form
    27,892.81/41,838.93 = 6,832.94/x
  3. Step 3: Cross multiply
    27,892.81x = 41,838.93 × 6,832.94
  4. Step 4: Simplify right side
    27,892.81x = 285,882,898.35
  5. Step 5: Solve for x
    x = 285,882,898.35/27,892.81
  6. Step 6: Final answer
    x = 10,249.34

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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.