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Finding the Fourth Proportional to 6,545.48, 9,801.81 and 5,166.30

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Solution

The fourth proportional to 6,545.48, 9,801.81 and 5,166.30 is: 7,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.48 : 9,801.81 = 5,166.30 : x
  2. Step 2: Convert to fraction form
    6,545.48/9,801.81 = 5,166.30/x
  3. Step 3: Cross multiply
    6,545.48x = 9,801.81 × 5,166.30
  4. Step 4: Simplify right side
    6,545.48x = 50,639,086.66
  5. Step 5: Solve for x
    x = 50,639,086.66/6,545.48
  6. Step 6: Final answer
    x = 7,736.50

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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.