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Finding the Fourth Proportional to 6,583.22, 9,874.82 and 3,293

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Solution

The fourth proportional to 6,583.22, 9,874.82 and 3,293 is: 4,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.22 : 9,874.82 = 3,293 : x
  2. Step 2: Convert to fraction form
    6,583.22/9,874.82 = 3,293/x
  3. Step 3: Cross multiply
    6,583.22x = 9,874.82 × 3,293
  4. Step 4: Simplify right side
    6,583.22x = 32,517,782.26
  5. Step 5: Solve for x
    x = 32,517,782.26/6,583.22
  6. Step 6: Final answer
    x = 4,939.49

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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.