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Finding the Fourth Proportional to 11,798.88, 17,717.16 and 6,872.06

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Solution

The fourth proportional to 11,798.88, 17,717.16 and 6,872.06 is: 10,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.88 : 17,717.16 = 6,872.06 : x
  2. Step 2: Convert to fraction form
    11,798.88/17,717.16 = 6,872.06/x
  3. Step 3: Cross multiply
    11,798.88x = 17,717.16 × 6,872.06
  4. Step 4: Simplify right side
    11,798.88x = 121,753,297.96
  5. Step 5: Solve for x
    x = 121,753,297.96/11,798.88
  6. Step 6: Final answer
    x = 10,319.06

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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.