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Finding the Fourth Proportional to 6,467.46, 9,702.14 and 2,083.47

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Solution

The fourth proportional to 6,467.46, 9,702.14 and 2,083.47 is: 3,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.46 : 9,702.14 = 2,083.47 : x
  2. Step 2: Convert to fraction form
    6,467.46/9,702.14 = 2,083.47/x
  3. Step 3: Cross multiply
    6,467.46x = 9,702.14 × 2,083.47
  4. Step 4: Simplify right side
    6,467.46x = 20,214,107.21
  5. Step 5: Solve for x
    x = 20,214,107.21/6,467.46
  6. Step 6: Final answer
    x = 3,125.51

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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.