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Finding the Fourth Proportional to 27,213.48, 40,821.74 and 8,496.10

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Solution

The fourth proportional to 27,213.48, 40,821.74 and 8,496.10 is: 12,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,213.48 : 40,821.74 = 8,496.10 : x
  2. Step 2: Convert to fraction form
    27,213.48/40,821.74 = 8,496.10/x
  3. Step 3: Cross multiply
    27,213.48x = 40,821.74 × 8,496.10
  4. Step 4: Simplify right side
    27,213.48x = 346,825,625.62
  5. Step 5: Solve for x
    x = 346,825,625.62/27,213.48
  6. Step 6: Final answer
    x = 12,744.63

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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.