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Finding the Fourth Proportional to 6,793.80, 10,188.40 and 2,410.64

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Solution

The fourth proportional to 6,793.80, 10,188.40 and 2,410.64 is: 3,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,793.80 : 10,188.40 = 2,410.64 : x
  2. Step 2: Convert to fraction form
    6,793.80/10,188.40 = 2,410.64/x
  3. Step 3: Cross multiply
    6,793.80x = 10,188.40 × 2,410.64
  4. Step 4: Simplify right side
    6,793.80x = 24,560,564.58
  5. Step 5: Solve for x
    x = 24,560,564.58/6,793.80
  6. Step 6: Final answer
    x = 3,615.14

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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.