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Finding the Fourth Proportional to 6,772.88, 10,210.09 and 6,321.31

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Solution

The fourth proportional to 6,772.88, 10,210.09 and 6,321.31 is: 9,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.88 : 10,210.09 = 6,321.31 : x
  2. Step 2: Convert to fraction form
    6,772.88/10,210.09 = 6,321.31/x
  3. Step 3: Cross multiply
    6,772.88x = 10,210.09 × 6,321.31
  4. Step 4: Simplify right side
    6,772.88x = 64,541,102.69
  5. Step 5: Solve for x
    x = 64,541,102.69/6,772.88
  6. Step 6: Final answer
    x = 9,529.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.