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Finding the Fourth Proportional to 6,951.37, 10,474.49 and 5,745.79

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Solution

The fourth proportional to 6,951.37, 10,474.49 and 5,745.79 is: 8,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.37 : 10,474.49 = 5,745.79 : x
  2. Step 2: Convert to fraction form
    6,951.37/10,474.49 = 5,745.79/x
  3. Step 3: Cross multiply
    6,951.37x = 10,474.49 × 5,745.79
  4. Step 4: Simplify right side
    6,951.37x = 60,184,186.53
  5. Step 5: Solve for x
    x = 60,184,186.53/6,951.37
  6. Step 6: Final answer
    x = 8,657.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.