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Finding the Fourth Proportional to 20,646, 30,969 and 6,796.08

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Solution

The fourth proportional to 20,646, 30,969 and 6,796.08 is: 10,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646 : 30,969 = 6,796.08 : x
  2. Step 2: Convert to fraction form
    20,646/30,969 = 6,796.08/x
  3. Step 3: Cross multiply
    20,646x = 30,969 × 6,796.08
  4. Step 4: Simplify right side
    20,646x = 210,467,801.52
  5. Step 5: Solve for x
    x = 210,467,801.52/20,646
  6. Step 6: Final answer
    x = 10,194.12

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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.