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Finding the Fourth Proportional to 8,097.64, 11,093.81 and 7,794.28

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Solution

The fourth proportional to 8,097.64, 11,093.81 and 7,794.28 is: 10,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.64 : 11,093.81 = 7,794.28 : x
  2. Step 2: Convert to fraction form
    8,097.64/11,093.81 = 7,794.28/x
  3. Step 3: Cross multiply
    8,097.64x = 11,093.81 × 7,794.28
  4. Step 4: Simplify right side
    8,097.64x = 86,468,217.74
  5. Step 5: Solve for x
    x = 86,468,217.74/8,097.64
  6. Step 6: Final answer
    x = 10,678.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.