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Finding the Fourth Proportional to 6,550, 9,039 and 3,606

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Solution

The fourth proportional to 6,550, 9,039 and 3,606 is: 4,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550 : 9,039 = 3,606 : x
  2. Step 2: Convert to fraction form
    6,550/9,039 = 3,606/x
  3. Step 3: Cross multiply
    6,550x = 9,039 × 3,606
  4. Step 4: Simplify right side
    6,550x = 32,594,634
  5. Step 5: Solve for x
    x = 32,594,634/6,550
  6. Step 6: Final answer
    x = 4,976.28

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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.