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Finding the Fourth Proportional to 6,523.24, 9,002 and 3,539.14

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Solution

The fourth proportional to 6,523.24, 9,002 and 3,539.14 is: 4,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.24 : 9,002 = 3,539.14 : x
  2. Step 2: Convert to fraction form
    6,523.24/9,002 = 3,539.14/x
  3. Step 3: Cross multiply
    6,523.24x = 9,002 × 3,539.14
  4. Step 4: Simplify right side
    6,523.24x = 31,859,338.28
  5. Step 5: Solve for x
    x = 31,859,338.28/6,523.24
  6. Step 6: Final answer
    x = 4,883.97

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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.