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Finding the Fourth Proportional to 11,937.52, 17,883.24 and 9,195.76

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Solution

The fourth proportional to 11,937.52, 17,883.24 and 9,195.76 is: 13,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.52 : 17,883.24 = 9,195.76 : x
  2. Step 2: Convert to fraction form
    11,937.52/17,883.24 = 9,195.76/x
  3. Step 3: Cross multiply
    11,937.52x = 17,883.24 × 9,195.76
  4. Step 4: Simplify right side
    11,937.52x = 164,449,983.06
  5. Step 5: Solve for x
    x = 164,449,983.06/11,937.52
  6. Step 6: Final answer
    x = 13,775.89

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1.5x scale

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.