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Finding the Fourth Proportional to 8,097.66, 11,174.94 and 4,560.78

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Solution

The fourth proportional to 8,097.66, 11,174.94 and 4,560.78 is: 6,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.66 : 11,174.94 = 4,560.78 : x
  2. Step 2: Convert to fraction form
    8,097.66/11,174.94 = 4,560.78/x
  3. Step 3: Cross multiply
    8,097.66x = 11,174.94 × 4,560.78
  4. Step 4: Simplify right side
    8,097.66x = 50,966,442.85
  5. Step 5: Solve for x
    x = 50,966,442.85/8,097.66
  6. Step 6: Final answer
    x = 6,293.97

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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.