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Finding the Fourth Proportional to 6,785.00, 10,170.23 and 2,835.24

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Solution

The fourth proportional to 6,785.00, 10,170.23 and 2,835.24 is: 4,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.00 : 10,170.23 = 2,835.24 : x
  2. Step 2: Convert to fraction form
    6,785.00/10,170.23 = 2,835.24/x
  3. Step 3: Cross multiply
    6,785.00x = 10,170.23 × 2,835.24
  4. Step 4: Simplify right side
    6,785.00x = 28,835,057.42
  5. Step 5: Solve for x
    x = 28,835,057.42/6,785.00
  6. Step 6: Final answer
    x = 4,249.83

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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.