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Finding the Fourth Proportional to 6,481.50, 9,730.42 and 5,513.75

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Solution

The fourth proportional to 6,481.50, 9,730.42 and 5,513.75 is: 8,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.50 : 9,730.42 = 5,513.75 : x
  2. Step 2: Convert to fraction form
    6,481.50/9,730.42 = 5,513.75/x
  3. Step 3: Cross multiply
    6,481.50x = 9,730.42 × 5,513.75
  4. Step 4: Simplify right side
    6,481.50x = 53,651,113.82
  5. Step 5: Solve for x
    x = 53,651,113.82/6,481.50
  6. Step 6: Final answer
    x = 8,277.58

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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.