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Finding the Fourth Proportional to 6,997.42, 9,656.31 and 3,853.54

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Solution

The fourth proportional to 6,997.42, 9,656.31 and 3,853.54 is: 5,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.42 : 9,656.31 = 3,853.54 : x
  2. Step 2: Convert to fraction form
    6,997.42/9,656.31 = 3,853.54/x
  3. Step 3: Cross multiply
    6,997.42x = 9,656.31 × 3,853.54
  4. Step 4: Simplify right side
    6,997.42x = 37,210,976.84
  5. Step 5: Solve for x
    x = 37,210,976.84/6,997.42
  6. Step 6: Final answer
    x = 5,317.81

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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.