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Finding the Fourth Proportional to 8,227.64, 11,347.74 and 7,284.44

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Solution

The fourth proportional to 8,227.64, 11,347.74 and 7,284.44 is: 10,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.64 : 11,347.74 = 7,284.44 : x
  2. Step 2: Convert to fraction form
    8,227.64/11,347.74 = 7,284.44/x
  3. Step 3: Cross multiply
    8,227.64x = 11,347.74 × 7,284.44
  4. Step 4: Simplify right side
    8,227.64x = 82,661,931.17
  5. Step 5: Solve for x
    x = 82,661,931.17/8,227.64
  6. Step 6: Final answer
    x = 10,046.86

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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.