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Finding the Fourth Proportional to 10,022, 13,831 and 5,606

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Solution

The fourth proportional to 10,022, 13,831 and 5,606 is: 7,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022 : 13,831 = 5,606 : x
  2. Step 2: Convert to fraction form
    10,022/13,831 = 5,606/x
  3. Step 3: Cross multiply
    10,022x = 13,831 × 5,606
  4. Step 4: Simplify right side
    10,022x = 77,536,586
  5. Step 5: Solve for x
    x = 77,536,586/10,022
  6. Step 6: Final answer
    x = 7,736.64

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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.