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Finding the Fourth Proportional to 13,796.01, 20,690.37 and 6,003

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Solution

The fourth proportional to 13,796.01, 20,690.37 and 6,003 is: 9,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.01 : 20,690.37 = 6,003 : x
  2. Step 2: Convert to fraction form
    13,796.01/20,690.37 = 6,003/x
  3. Step 3: Cross multiply
    13,796.01x = 20,690.37 × 6,003
  4. Step 4: Simplify right side
    13,796.01x = 124,204,291.11
  5. Step 5: Solve for x
    x = 124,204,291.11/13,796.01
  6. Step 6: Final answer
    x = 9,002.91

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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.