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Finding the Fourth Proportional to 6,969.76, 10,450.40 and 2,962.42

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Solution

The fourth proportional to 6,969.76, 10,450.40 and 2,962.42 is: 4,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.76 : 10,450.40 = 2,962.42 : x
  2. Step 2: Convert to fraction form
    6,969.76/10,450.40 = 2,962.42/x
  3. Step 3: Cross multiply
    6,969.76x = 10,450.40 × 2,962.42
  4. Step 4: Simplify right side
    6,969.76x = 30,958,473.97
  5. Step 5: Solve for x
    x = 30,958,473.97/6,969.76
  6. Step 6: Final answer
    x = 4,441.83

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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.