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Finding the Fourth Proportional to 8,096.66, 11,174.39 and 4,560.54

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Solution

The fourth proportional to 8,096.66, 11,174.39 and 4,560.54 is: 6,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.66 : 11,174.39 = 4,560.54 : x
  2. Step 2: Convert to fraction form
    8,096.66/11,174.39 = 4,560.54/x
  3. Step 3: Cross multiply
    8,096.66x = 11,174.39 × 4,560.54
  4. Step 4: Simplify right side
    8,096.66x = 50,961,252.57
  5. Step 5: Solve for x
    x = 50,961,252.57/8,096.66
  6. Step 6: Final answer
    x = 6,294.11

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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.