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Finding the Fourth Proportional to 6,362.72, 9,545.80 and 2,663

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Solution

The fourth proportional to 6,362.72, 9,545.80 and 2,663 is: 3,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.72 : 9,545.80 = 2,663 : x
  2. Step 2: Convert to fraction form
    6,362.72/9,545.80 = 2,663/x
  3. Step 3: Cross multiply
    6,362.72x = 9,545.80 × 2,663
  4. Step 4: Simplify right side
    6,362.72x = 25,420,465.40
  5. Step 5: Solve for x
    x = 25,420,465.40/6,362.72
  6. Step 6: Final answer
    x = 3,995.22

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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.