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Finding the Fourth Proportional to 6,881.20, 10,317.18 and 3,178.42

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Solution

The fourth proportional to 6,881.20, 10,317.18 and 3,178.42 is: 4,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.20 : 10,317.18 = 3,178.42 : x
  2. Step 2: Convert to fraction form
    6,881.20/10,317.18 = 3,178.42/x
  3. Step 3: Cross multiply
    6,881.20x = 10,317.18 × 3,178.42
  4. Step 4: Simplify right side
    6,881.20x = 32,792,331.26
  5. Step 5: Solve for x
    x = 32,792,331.26/6,881.20
  6. Step 6: Final answer
    x = 4,765.50

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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.