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Finding the Fourth Proportional to 6,485.80, 9,731.40 and 2,104.60

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Solution

The fourth proportional to 6,485.80, 9,731.40 and 2,104.60 is: 3,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.80 : 9,731.40 = 2,104.60 : x
  2. Step 2: Convert to fraction form
    6,485.80/9,731.40 = 2,104.60/x
  3. Step 3: Cross multiply
    6,485.80x = 9,731.40 × 2,104.60
  4. Step 4: Simplify right side
    6,485.80x = 20,480,704.44
  5. Step 5: Solve for x
    x = 20,480,704.44/6,485.80
  6. Step 6: Final answer
    x = 3,157.78

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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.