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Finding the Fourth Proportional to 6,727, 9,276.24 and 4,073.44

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Solution

The fourth proportional to 6,727, 9,276.24 and 4,073.44 is: 5,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727 : 9,276.24 = 4,073.44 : x
  2. Step 2: Convert to fraction form
    6,727/9,276.24 = 4,073.44/x
  3. Step 3: Cross multiply
    6,727x = 9,276.24 × 4,073.44
  4. Step 4: Simplify right side
    6,727x = 37,786,207.07
  5. Step 5: Solve for x
    x = 37,786,207.07/6,727
  6. Step 6: Final answer
    x = 5,617.10

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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.