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Finding the Fourth Proportional to 6,545.49, 9,820.07 and 2,166.03

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Solution

The fourth proportional to 6,545.49, 9,820.07 and 2,166.03 is: 3,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.49 : 9,820.07 = 2,166.03 : x
  2. Step 2: Convert to fraction form
    6,545.49/9,820.07 = 2,166.03/x
  3. Step 3: Cross multiply
    6,545.49x = 9,820.07 × 2,166.03
  4. Step 4: Simplify right side
    6,545.49x = 21,270,555.39
  5. Step 5: Solve for x
    x = 21,270,555.39/6,545.49
  6. Step 6: Final answer
    x = 3,249.65

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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.