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Finding the Fourth Proportional to 6,895.50, 10,344.51 and 2,216.22

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Solution

The fourth proportional to 6,895.50, 10,344.51 and 2,216.22 is: 3,324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.50 : 10,344.51 = 2,216.22 : x
  2. Step 2: Convert to fraction form
    6,895.50/10,344.51 = 2,216.22/x
  3. Step 3: Cross multiply
    6,895.50x = 10,344.51 × 2,216.22
  4. Step 4: Simplify right side
    6,895.50x = 22,925,709.95
  5. Step 5: Solve for x
    x = 22,925,709.95/6,895.50
  6. Step 6: Final answer
    x = 3,324.73

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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.