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Finding the Fourth Proportional to 6,366.50, 9,552.18 and 2,471.21

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Solution

The fourth proportional to 6,366.50, 9,552.18 and 2,471.21 is: 3,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.50 : 9,552.18 = 2,471.21 : x
  2. Step 2: Convert to fraction form
    6,366.50/9,552.18 = 2,471.21/x
  3. Step 3: Cross multiply
    6,366.50x = 9,552.18 × 2,471.21
  4. Step 4: Simplify right side
    6,366.50x = 23,605,442.74
  5. Step 5: Solve for x
    x = 23,605,442.74/6,366.50
  6. Step 6: Final answer
    x = 3,707.76

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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.