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Finding the Fourth Proportional to 6,889.77, 10,334.10 and 2,208.53

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Solution

The fourth proportional to 6,889.77, 10,334.10 and 2,208.53 is: 3,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.77 : 10,334.10 = 2,208.53 : x
  2. Step 2: Convert to fraction form
    6,889.77/10,334.10 = 2,208.53/x
  3. Step 3: Cross multiply
    6,889.77x = 10,334.10 × 2,208.53
  4. Step 4: Simplify right side
    6,889.77x = 22,823,118.20
  5. Step 5: Solve for x
    x = 22,823,118.20/6,889.77
  6. Step 6: Final answer
    x = 3,312.61

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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.