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Finding the Fourth Proportional to 6,350.46, 9,525.48 and 1,967.82

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Solution

The fourth proportional to 6,350.46, 9,525.48 and 1,967.82 is: 2,951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.46 : 9,525.48 = 1,967.82 : x
  2. Step 2: Convert to fraction form
    6,350.46/9,525.48 = 1,967.82/x
  3. Step 3: Cross multiply
    6,350.46x = 9,525.48 × 1,967.82
  4. Step 4: Simplify right side
    6,350.46x = 18,744,430.05
  5. Step 5: Solve for x
    x = 18,744,430.05/6,350.46
  6. Step 6: Final answer
    x = 2,951.66

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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.