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Finding the Fourth Proportional to 6,296.98, 9,446.00 and 1,914.48

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Solution

The fourth proportional to 6,296.98, 9,446.00 and 1,914.48 is: 2,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.98 : 9,446.00 = 1,914.48 : x
  2. Step 2: Convert to fraction form
    6,296.98/9,446.00 = 1,914.48/x
  3. Step 3: Cross multiply
    6,296.98x = 9,446.00 × 1,914.48
  4. Step 4: Simplify right side
    6,296.98x = 18,084,143.85
  5. Step 5: Solve for x
    x = 18,084,143.85/6,296.98
  6. Step 6: Final answer
    x = 2,871.88

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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.