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Finding the Fourth Proportional to 11,973, 17,963.04 and 6,133.70

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Solution

The fourth proportional to 11,973, 17,963.04 and 6,133.70 is: 9,202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973 : 17,963.04 = 6,133.70 : x
  2. Step 2: Convert to fraction form
    11,973/17,963.04 = 6,133.70/x
  3. Step 3: Cross multiply
    11,973x = 17,963.04 × 6,133.70
  4. Step 4: Simplify right side
    11,973x = 110,179,898.45
  5. Step 5: Solve for x
    x = 110,179,898.45/11,973
  6. Step 6: Final answer
    x = 9,202.36

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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.