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Finding the Fourth Proportional to 27,808.20, 41,716.37 and 8,084.20

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Solution

The fourth proportional to 27,808.20, 41,716.37 and 8,084.20 is: 12,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808.20 : 41,716.37 = 8,084.20 : x
  2. Step 2: Convert to fraction form
    27,808.20/41,716.37 = 8,084.20/x
  3. Step 3: Cross multiply
    27,808.20x = 41,716.37 × 8,084.20
  4. Step 4: Simplify right side
    27,808.20x = 337,243,478.35
  5. Step 5: Solve for x
    x = 337,243,478.35/27,808.20
  6. Step 6: Final answer
    x = 12,127.48

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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.