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Finding the Fourth Proportional to 6,398.73, 9,582.03 and 4,051.62

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Solution

The fourth proportional to 6,398.73, 9,582.03 and 4,051.62 is: 6,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.73 : 9,582.03 = 4,051.62 : x
  2. Step 2: Convert to fraction form
    6,398.73/9,582.03 = 4,051.62/x
  3. Step 3: Cross multiply
    6,398.73x = 9,582.03 × 4,051.62
  4. Step 4: Simplify right side
    6,398.73x = 38,822,744.39
  5. Step 5: Solve for x
    x = 38,822,744.39/6,398.73
  6. Step 6: Final answer
    x = 6,067.26

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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.