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Finding the Fourth Proportional to 6,903, 10,345.14 and 3,778.29

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Solution

The fourth proportional to 6,903, 10,345.14 and 3,778.29 is: 5,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903 : 10,345.14 = 3,778.29 : x
  2. Step 2: Convert to fraction form
    6,903/10,345.14 = 3,778.29/x
  3. Step 3: Cross multiply
    6,903x = 10,345.14 × 3,778.29
  4. Step 4: Simplify right side
    6,903x = 39,086,939.01
  5. Step 5: Solve for x
    x = 39,086,939.01/6,903
  6. Step 6: Final answer
    x = 5,662.31

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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.