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Finding the Fourth Proportional to 6,997.64, 9,657.34 and 3,854.42

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Solution

The fourth proportional to 6,997.64, 9,657.34 and 3,854.42 is: 5,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.64 : 9,657.34 = 3,854.42 : x
  2. Step 2: Convert to fraction form
    6,997.64/9,657.34 = 3,854.42/x
  3. Step 3: Cross multiply
    6,997.64x = 9,657.34 × 3,854.42
  4. Step 4: Simplify right side
    6,997.64x = 37,223,444.44
  5. Step 5: Solve for x
    x = 37,223,444.44/6,997.64
  6. Step 6: Final answer
    x = 5,319.43

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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.