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Finding the Fourth Proportional to 6,366.54, 9,551.64 and 2,669.28

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Solution

The fourth proportional to 6,366.54, 9,551.64 and 2,669.28 is: 4,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.54 : 9,551.64 = 2,669.28 : x
  2. Step 2: Convert to fraction form
    6,366.54/9,551.64 = 2,669.28/x
  3. Step 3: Cross multiply
    6,366.54x = 9,551.64 × 2,669.28
  4. Step 4: Simplify right side
    6,366.54x = 25,496,001.62
  5. Step 5: Solve for x
    x = 25,496,001.62/6,366.54
  6. Step 6: Final answer
    x = 4,004.69

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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.