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Finding the Fourth Proportional to 6,383.04, 9,578.31 and 2,684.99

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Solution

The fourth proportional to 6,383.04, 9,578.31 and 2,684.99 is: 4,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.04 : 9,578.31 = 2,684.99 : x
  2. Step 2: Convert to fraction form
    6,383.04/9,578.31 = 2,684.99/x
  3. Step 3: Cross multiply
    6,383.04x = 9,578.31 × 2,684.99
  4. Step 4: Simplify right side
    6,383.04x = 25,717,664.66
  5. Step 5: Solve for x
    x = 25,717,664.66/6,383.04
  6. Step 6: Final answer
    x = 4,029.06

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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.