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Finding the Fourth Proportional to 7,067, 10,599.96 and 4,594.88

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Solution

The fourth proportional to 7,067, 10,599.96 and 4,594.88 is: 6,891.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067 : 10,599.96 = 4,594.88 : x
  2. Step 2: Convert to fraction form
    7,067/10,599.96 = 4,594.88/x
  3. Step 3: Cross multiply
    7,067x = 10,599.96 × 4,594.88
  4. Step 4: Simplify right side
    7,067x = 48,705,544.20
  5. Step 5: Solve for x
    x = 48,705,544.20/7,067
  6. Step 6: Final answer
    x = 6,891.97

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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.