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Finding the Fourth Proportional to 6,997.66, 9,656.33 and 3,853.85

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Solution

The fourth proportional to 6,997.66, 9,656.33 and 3,853.85 is: 5,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.66 : 9,656.33 = 3,853.85 : x
  2. Step 2: Convert to fraction form
    6,997.66/9,656.33 = 3,853.85/x
  3. Step 3: Cross multiply
    6,997.66x = 9,656.33 × 3,853.85
  4. Step 4: Simplify right side
    6,997.66x = 37,213,979.82
  5. Step 5: Solve for x
    x = 37,213,979.82/6,997.66
  6. Step 6: Final answer
    x = 5,318.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.