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Finding the Fourth Proportional to 6,646.31, 9,171.38 and 3,851.99

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Solution

The fourth proportional to 6,646.31, 9,171.38 and 3,851.99 is: 5,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.31 : 9,171.38 = 3,851.99 : x
  2. Step 2: Convert to fraction form
    6,646.31/9,171.38 = 3,851.99/x
  3. Step 3: Cross multiply
    6,646.31x = 9,171.38 × 3,851.99
  4. Step 4: Simplify right side
    6,646.31x = 35,328,044.79
  5. Step 5: Solve for x
    x = 35,328,044.79/6,646.31
  6. Step 6: Final answer
    x = 5,315.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.