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Finding the Fourth Proportional to 6,502.96, 9,743.10 and 3,900.16

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Solution

The fourth proportional to 6,502.96, 9,743.10 and 3,900.16 is: 5,843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.96 : 9,743.10 = 3,900.16 : x
  2. Step 2: Convert to fraction form
    6,502.96/9,743.10 = 3,900.16/x
  3. Step 3: Cross multiply
    6,502.96x = 9,743.10 × 3,900.16
  4. Step 4: Simplify right side
    6,502.96x = 37,999,648.90
  5. Step 5: Solve for x
    x = 37,999,648.90/6,502.96
  6. Step 6: Final answer
    x = 5,843.44

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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.