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Finding the Fourth Proportional to 6,274, 8,674.50 and 5,998.60

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Solution

The fourth proportional to 6,274, 8,674.50 and 5,998.60 is: 8,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274 : 8,674.50 = 5,998.60 : x
  2. Step 2: Convert to fraction form
    6,274/8,674.50 = 5,998.60/x
  3. Step 3: Cross multiply
    6,274x = 8,674.50 × 5,998.60
  4. Step 4: Simplify right side
    6,274x = 52,034,855.70
  5. Step 5: Solve for x
    x = 52,034,855.70/6,274
  6. Step 6: Final answer
    x = 8,293.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.