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Finding the Fourth Proportional to 17,104.96, 25,660.80 and 6,716.80

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Solution

The fourth proportional to 17,104.96, 25,660.80 and 6,716.80 is: 10,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,104.96 : 25,660.80 = 6,716.80 : x
  2. Step 2: Convert to fraction form
    17,104.96/25,660.80 = 6,716.80/x
  3. Step 3: Cross multiply
    17,104.96x = 25,660.80 × 6,716.80
  4. Step 4: Simplify right side
    17,104.96x = 172,358,461.44
  5. Step 5: Solve for x
    x = 172,358,461.44/17,104.96
  6. Step 6: Final answer
    x = 10,076.52

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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.