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Finding the Fourth Proportional to 6,344.66, 9,519.24 and 2,834.34

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Solution

The fourth proportional to 6,344.66, 9,519.24 and 2,834.34 is: 4,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.66 : 9,519.24 = 2,834.34 : x
  2. Step 2: Convert to fraction form
    6,344.66/9,519.24 = 2,834.34/x
  3. Step 3: Cross multiply
    6,344.66x = 9,519.24 × 2,834.34
  4. Step 4: Simplify right side
    6,344.66x = 26,980,762.70
  5. Step 5: Solve for x
    x = 26,980,762.70/6,344.66
  6. Step 6: Final answer
    x = 4,252.52

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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.