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Finding the Fourth Proportional to 11,996.62, 17,962.62 and 7,826.28

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Solution

The fourth proportional to 11,996.62, 17,962.62 and 7,826.28 is: 11,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.62 : 17,962.62 = 7,826.28 : x
  2. Step 2: Convert to fraction form
    11,996.62/17,962.62 = 7,826.28/x
  3. Step 3: Cross multiply
    11,996.62x = 17,962.62 × 7,826.28
  4. Step 4: Simplify right side
    11,996.62x = 140,580,493.65
  5. Step 5: Solve for x
    x = 140,580,493.65/11,996.62
  6. Step 6: Final answer
    x = 11,718.34

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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.