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Finding the Fourth Proportional to 6,727.00, 10,074.86 and 6,493.42

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Solution

The fourth proportional to 6,727.00, 10,074.86 and 6,493.42 is: 9,725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.00 : 10,074.86 = 6,493.42 : x
  2. Step 2: Convert to fraction form
    6,727.00/10,074.86 = 6,493.42/x
  3. Step 3: Cross multiply
    6,727.00x = 10,074.86 × 6,493.42
  4. Step 4: Simplify right side
    6,727.00x = 65,420,226.96
  5. Step 5: Solve for x
    x = 65,420,226.96/6,727.00
  6. Step 6: Final answer
    x = 9,725.02

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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.