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Finding the Fourth Proportional to 7,539, 10,403.84 and 4,227

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Solution

The fourth proportional to 7,539, 10,403.84 and 4,227 is: 5,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539 : 10,403.84 = 4,227 : x
  2. Step 2: Convert to fraction form
    7,539/10,403.84 = 4,227/x
  3. Step 3: Cross multiply
    7,539x = 10,403.84 × 4,227
  4. Step 4: Simplify right side
    7,539x = 43,977,031.68
  5. Step 5: Solve for x
    x = 43,977,031.68/7,539
  6. Step 6: Final answer
    x = 5,833.27

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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.