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Finding the Fourth Proportional to 8,497.28, 11,729.38 and 7,297.44

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Solution

The fourth proportional to 8,497.28, 11,729.38 and 7,297.44 is: 10,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.28 : 11,729.38 = 7,297.44 : x
  2. Step 2: Convert to fraction form
    8,497.28/11,729.38 = 7,297.44/x
  3. Step 3: Cross multiply
    8,497.28x = 11,729.38 × 7,297.44
  4. Step 4: Simplify right side
    8,497.28x = 85,594,446.79
  5. Step 5: Solve for x
    x = 85,594,446.79/8,497.28
  6. Step 6: Final answer
    x = 10,073.16

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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.