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Finding the Fourth Proportional to 6,937.38, 10,408.69 and 4,165.98

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Solution

The fourth proportional to 6,937.38, 10,408.69 and 4,165.98 is: 6,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.38 : 10,408.69 = 4,165.98 : x
  2. Step 2: Convert to fraction form
    6,937.38/10,408.69 = 4,165.98/x
  3. Step 3: Cross multiply
    6,937.38x = 10,408.69 × 4,165.98
  4. Step 4: Simplify right side
    6,937.38x = 43,362,394.37
  5. Step 5: Solve for x
    x = 43,362,394.37/6,937.38
  6. Step 6: Final answer
    x = 6,250.54

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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.