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Finding the Fourth Proportional to 27,872.96, 41,809.26 and 6,813.11

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Solution

The fourth proportional to 27,872.96, 41,809.26 and 6,813.11 is: 10,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.96 : 41,809.26 = 6,813.11 : x
  2. Step 2: Convert to fraction form
    27,872.96/41,809.26 = 6,813.11/x
  3. Step 3: Cross multiply
    27,872.96x = 41,809.26 × 6,813.11
  4. Step 4: Simplify right side
    27,872.96x = 284,850,878.35
  5. Step 5: Solve for x
    x = 284,850,878.35/27,872.96
  6. Step 6: Final answer
    x = 10,219.62

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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.