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Finding the Fourth Proportional to 6,344.41, 9,518.87 and 2,834.10

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Solution

The fourth proportional to 6,344.41, 9,518.87 and 2,834.10 is: 4,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.41 : 9,518.87 = 2,834.10 : x
  2. Step 2: Convert to fraction form
    6,344.41/9,518.87 = 2,834.10/x
  3. Step 3: Cross multiply
    6,344.41x = 9,518.87 × 2,834.10
  4. Step 4: Simplify right side
    6,344.41x = 26,977,429.47
  5. Step 5: Solve for x
    x = 26,977,429.47/6,344.41
  6. Step 6: Final answer
    x = 4,252.16

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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.