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Finding the Fourth Proportional to 27,611.30, 41,416.97 and 6,834.80

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Solution

The fourth proportional to 27,611.30, 41,416.97 and 6,834.80 is: 10,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,611.30 : 41,416.97 = 6,834.80 : x
  2. Step 2: Convert to fraction form
    27,611.30/41,416.97 = 6,834.80/x
  3. Step 3: Cross multiply
    27,611.30x = 41,416.97 × 6,834.80
  4. Step 4: Simplify right side
    27,611.30x = 283,076,775.92
  5. Step 5: Solve for x
    x = 283,076,775.92/27,611.30
  6. Step 6: Final answer
    x = 10,252.21

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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.