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Finding the Fourth Proportional to 6,790.50, 10,188.84 and 4,022.64

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Solution

The fourth proportional to 6,790.50, 10,188.84 and 4,022.64 is: 6,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.50 : 10,188.84 = 4,022.64 : x
  2. Step 2: Convert to fraction form
    6,790.50/10,188.84 = 4,022.64/x
  3. Step 3: Cross multiply
    6,790.50x = 10,188.84 × 4,022.64
  4. Step 4: Simplify right side
    6,790.50x = 40,986,035.34
  5. Step 5: Solve for x
    x = 40,986,035.34/6,790.50
  6. Step 6: Final answer
    x = 6,035.79

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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.