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Finding the Fourth Proportional to 6,551, 9,040.38 and 3,607

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Solution

The fourth proportional to 6,551, 9,040.38 and 3,607 is: 4,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551 : 9,040.38 = 3,607 : x
  2. Step 2: Convert to fraction form
    6,551/9,040.38 = 3,607/x
  3. Step 3: Cross multiply
    6,551x = 9,040.38 × 3,607
  4. Step 4: Simplify right side
    6,551x = 32,608,650.66
  5. Step 5: Solve for x
    x = 32,608,650.66/6,551
  6. Step 6: Final answer
    x = 4,977.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.