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Finding the Fourth Proportional to 6,416, 9,596.20 and 3,777.22

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Solution

The fourth proportional to 6,416, 9,596.20 and 3,777.22 is: 5,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 9,596.20 = 3,777.22 : x
  2. Step 2: Convert to fraction form
    6,416/9,596.20 = 3,777.22/x
  3. Step 3: Cross multiply
    6,416x = 9,596.20 × 3,777.22
  4. Step 4: Simplify right side
    6,416x = 36,246,958.56
  5. Step 5: Solve for x
    x = 36,246,958.56/6,416
  6. Step 6: Final answer
    x = 5,649.46

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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.