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Finding the Fourth Proportional to 27,874.83, 41,807.21 and 11,234.19

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Solution

The fourth proportional to 27,874.83, 41,807.21 and 11,234.19 is: 16,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.83 : 41,807.21 = 11,234.19 : x
  2. Step 2: Convert to fraction form
    27,874.83/41,807.21 = 11,234.19/x
  3. Step 3: Cross multiply
    27,874.83x = 41,807.21 × 11,234.19
  4. Step 4: Simplify right side
    27,874.83x = 469,670,084.34
  5. Step 5: Solve for x
    x = 469,670,084.34/27,874.83
  6. Step 6: Final answer
    x = 16,849.25

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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.