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Finding the Fourth Proportional to 27,419.82, 41,096.77 and 9,869.14

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Solution

The fourth proportional to 27,419.82, 41,096.77 and 9,869.14 is: 14,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.82 : 41,096.77 = 9,869.14 : x
  2. Step 2: Convert to fraction form
    27,419.82/41,096.77 = 9,869.14/x
  3. Step 3: Cross multiply
    27,419.82x = 41,096.77 × 9,869.14
  4. Step 4: Simplify right side
    27,419.82x = 405,589,803.38
  5. Step 5: Solve for x
    x = 405,589,803.38/27,419.82
  6. Step 6: Final answer
    x = 14,791.85

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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.