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Finding the Fourth Proportional to 6,464.11, 9,698.48 and 3,179.50

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Solution

The fourth proportional to 6,464.11, 9,698.48 and 3,179.50 is: 4,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.11 : 9,698.48 = 3,179.50 : x
  2. Step 2: Convert to fraction form
    6,464.11/9,698.48 = 3,179.50/x
  3. Step 3: Cross multiply
    6,464.11x = 9,698.48 × 3,179.50
  4. Step 4: Simplify right side
    6,464.11x = 30,836,317.16
  5. Step 5: Solve for x
    x = 30,836,317.16/6,464.11
  6. Step 6: Final answer
    x = 4,770.39

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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.