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Finding the Fourth Proportional to 6,493, 9,740.18 and 3,202.93

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Solution

The fourth proportional to 6,493, 9,740.18 and 3,202.93 is: 4,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493 : 9,740.18 = 3,202.93 : x
  2. Step 2: Convert to fraction form
    6,493/9,740.18 = 3,202.93/x
  3. Step 3: Cross multiply
    6,493x = 9,740.18 × 3,202.93
  4. Step 4: Simplify right side
    6,493x = 31,197,114.73
  5. Step 5: Solve for x
    x = 31,197,114.73/6,493
  6. Step 6: Final answer
    x = 4,804.73

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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.