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Finding the Fourth Proportional to 6,582, 9,083.16 and 3,638

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Solution

The fourth proportional to 6,582, 9,083.16 and 3,638 is: 5,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582 : 9,083.16 = 3,638 : x
  2. Step 2: Convert to fraction form
    6,582/9,083.16 = 3,638/x
  3. Step 3: Cross multiply
    6,582x = 9,083.16 × 3,638
  4. Step 4: Simplify right side
    6,582x = 33,044,536.08
  5. Step 5: Solve for x
    x = 33,044,536.08/6,582
  6. Step 6: Final answer
    x = 5,020.44

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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.