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Finding the Fourth Proportional to 11,937.42, 17,917.07 and 6,397.02

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Solution

The fourth proportional to 11,937.42, 17,917.07 and 6,397.02 is: 9,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.42 : 17,917.07 = 6,397.02 : x
  2. Step 2: Convert to fraction form
    11,937.42/17,917.07 = 6,397.02/x
  3. Step 3: Cross multiply
    11,937.42x = 17,917.07 × 6,397.02
  4. Step 4: Simplify right side
    11,937.42x = 114,615,855.13
  5. Step 5: Solve for x
    x = 114,615,855.13/11,937.42
  6. Step 6: Final answer
    x = 9,601.39

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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.