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Finding the Fourth Proportional to 20,742, 31,113 and 6,891

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Solution

The fourth proportional to 20,742, 31,113 and 6,891 is: 10,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742 : 31,113 = 6,891 : x
  2. Step 2: Convert to fraction form
    20,742/31,113 = 6,891/x
  3. Step 3: Cross multiply
    20,742x = 31,113 × 6,891
  4. Step 4: Simplify right side
    20,742x = 214,399,683
  5. Step 5: Solve for x
    x = 214,399,683/20,742
  6. Step 6: Final answer
    x = 10,336.50

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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.