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Finding the Fourth Proportional to 27,885.74, 41,834.54 and 8,164.94

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Solution

The fourth proportional to 27,885.74, 41,834.54 and 8,164.94 is: 12,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,885.74 : 41,834.54 = 8,164.94 : x
  2. Step 2: Convert to fraction form
    27,885.74/41,834.54 = 8,164.94/x
  3. Step 3: Cross multiply
    27,885.74x = 41,834.54 × 8,164.94
  4. Step 4: Simplify right side
    27,885.74x = 341,576,320.27
  5. Step 5: Solve for x
    x = 341,576,320.27/27,885.74
  6. Step 6: Final answer
    x = 12,249.14

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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.