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Finding the Fourth Proportional to 6,562.82, 9,056.36 and 3,730.12

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Solution

The fourth proportional to 6,562.82, 9,056.36 and 3,730.12 is: 5,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.82 : 9,056.36 = 3,730.12 : x
  2. Step 2: Convert to fraction form
    6,562.82/9,056.36 = 3,730.12/x
  3. Step 3: Cross multiply
    6,562.82x = 9,056.36 × 3,730.12
  4. Step 4: Simplify right side
    6,562.82x = 33,781,309.56
  5. Step 5: Solve for x
    x = 33,781,309.56/6,562.82
  6. Step 6: Final answer
    x = 5,147.38

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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.