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Finding the Fourth Proportional to 6,296.51, 9,446.14 and 2,079.95

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Solution

The fourth proportional to 6,296.51, 9,446.14 and 2,079.95 is: 3,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.51 : 9,446.14 = 2,079.95 : x
  2. Step 2: Convert to fraction form
    6,296.51/9,446.14 = 2,079.95/x
  3. Step 3: Cross multiply
    6,296.51x = 9,446.14 × 2,079.95
  4. Step 4: Simplify right side
    6,296.51x = 19,647,446.46
  5. Step 5: Solve for x
    x = 19,647,446.46/6,296.51
  6. Step 6: Final answer
    x = 3,120.37

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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.