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Finding the Fourth Proportional to 6,567.16, 9,062.82 and 3,734.44

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Solution

The fourth proportional to 6,567.16, 9,062.82 and 3,734.44 is: 5,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.16 : 9,062.82 = 3,734.44 : x
  2. Step 2: Convert to fraction form
    6,567.16/9,062.82 = 3,734.44/x
  3. Step 3: Cross multiply
    6,567.16x = 9,062.82 × 3,734.44
  4. Step 4: Simplify right side
    6,567.16x = 33,844,557.52
  5. Step 5: Solve for x
    x = 33,844,557.52/6,567.16
  6. Step 6: Final answer
    x = 5,153.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.