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Finding the Fourth Proportional to 9,658.78, 14,451.72 and 6,375.85

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Solution

The fourth proportional to 9,658.78, 14,451.72 and 6,375.85 is: 9,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.78 : 14,451.72 = 6,375.85 : x
  2. Step 2: Convert to fraction form
    9,658.78/14,451.72 = 6,375.85/x
  3. Step 3: Cross multiply
    9,658.78x = 14,451.72 × 6,375.85
  4. Step 4: Simplify right side
    9,658.78x = 92,141,998.96
  5. Step 5: Solve for x
    x = 92,141,998.96/9,658.78
  6. Step 6: Final answer
    x = 9,539.71

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1.5x scale

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.