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Finding the Fourth Proportional to 6,462.70, 9,695.40 and 2,080.60

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Solution

The fourth proportional to 6,462.70, 9,695.40 and 2,080.60 is: 3,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.70 : 9,695.40 = 2,080.60 : x
  2. Step 2: Convert to fraction form
    6,462.70/9,695.40 = 2,080.60/x
  3. Step 3: Cross multiply
    6,462.70x = 9,695.40 × 2,080.60
  4. Step 4: Simplify right side
    6,462.70x = 20,172,249.24
  5. Step 5: Solve for x
    x = 20,172,249.24/6,462.70
  6. Step 6: Final answer
    x = 3,121.33

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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.