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Finding the Fourth Proportional to 11,743.80, 17,603.44 and 6,203.40

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Solution

The fourth proportional to 11,743.80, 17,603.44 and 6,203.40 is: 9,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.80 : 17,603.44 = 6,203.40 : x
  2. Step 2: Convert to fraction form
    11,743.80/17,603.44 = 6,203.40/x
  3. Step 3: Cross multiply
    11,743.80x = 17,603.44 × 6,203.40
  4. Step 4: Simplify right side
    11,743.80x = 109,201,179.70
  5. Step 5: Solve for x
    x = 109,201,179.70/11,743.80
  6. Step 6: Final answer
    x = 9,298.62

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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.