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Finding the Fourth Proportional to 10,782, 16,173 and 4,626

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Solution

The fourth proportional to 10,782, 16,173 and 4,626 is: 6,939

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782 : 16,173 = 4,626 : x
  2. Step 2: Convert to fraction form
    10,782/16,173 = 4,626/x
  3. Step 3: Cross multiply
    10,782x = 16,173 × 4,626
  4. Step 4: Simplify right side
    10,782x = 74,816,298
  5. Step 5: Solve for x
    x = 74,816,298/10,782
  6. Step 6: Final answer
    x = 6,939

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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.