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Finding the Fourth Proportional to 19,450, 29,171.84 and 6,967.88

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Solution

The fourth proportional to 19,450, 29,171.84 and 6,967.88 is: 10,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,450 : 29,171.84 = 6,967.88 : x
  2. Step 2: Convert to fraction form
    19,450/29,171.84 = 6,967.88/x
  3. Step 3: Cross multiply
    19,450x = 29,171.84 × 6,967.88
  4. Step 4: Simplify right side
    19,450x = 203,265,880.50
  5. Step 5: Solve for x
    x = 203,265,880.50/19,450
  6. Step 6: Final answer
    x = 10,450.69

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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.