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Finding the Fourth Proportional to 6,458.97, 9,690.09 and 1,841.97

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Solution

The fourth proportional to 6,458.97, 9,690.09 and 1,841.97 is: 2,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.97 : 9,690.09 = 1,841.97 : x
  2. Step 2: Convert to fraction form
    6,458.97/9,690.09 = 1,841.97/x
  3. Step 3: Cross multiply
    6,458.97x = 9,690.09 × 1,841.97
  4. Step 4: Simplify right side
    6,458.97x = 17,848,855.08
  5. Step 5: Solve for x
    x = 17,848,855.08/6,458.97
  6. Step 6: Final answer
    x = 2,763.42

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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.