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Finding the Fourth Proportional to 27,874.95, 41,814.59 and 8,153.07

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Solution

The fourth proportional to 27,874.95, 41,814.59 and 8,153.07 is: 12,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.95 : 41,814.59 = 8,153.07 : x
  2. Step 2: Convert to fraction form
    27,874.95/41,814.59 = 8,153.07/x
  3. Step 3: Cross multiply
    27,874.95x = 41,814.59 × 8,153.07
  4. Step 4: Simplify right side
    27,874.95x = 340,917,238.53
  5. Step 5: Solve for x
    x = 340,917,238.53/27,874.95
  6. Step 6: Final answer
    x = 12,230.24

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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.