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Finding the Fourth Proportional to 6,330.97, 9,489.98 and 3,205.18

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Solution

The fourth proportional to 6,330.97, 9,489.98 and 3,205.18 is: 4,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.97 : 9,489.98 = 3,205.18 : x
  2. Step 2: Convert to fraction form
    6,330.97/9,489.98 = 3,205.18/x
  3. Step 3: Cross multiply
    6,330.97x = 9,489.98 × 3,205.18
  4. Step 4: Simplify right side
    6,330.97x = 30,417,078.07
  5. Step 5: Solve for x
    x = 30,417,078.07/6,330.97
  6. Step 6: Final answer
    x = 4,804.49

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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.