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Finding the Fourth Proportional to 8,096.62, 11,173.54 and 4,559.96

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Solution

The fourth proportional to 8,096.62, 11,173.54 and 4,559.96 is: 6,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.62 : 11,173.54 = 4,559.96 : x
  2. Step 2: Convert to fraction form
    8,096.62/11,173.54 = 4,559.96/x
  3. Step 3: Cross multiply
    8,096.62x = 11,173.54 × 4,559.96
  4. Step 4: Simplify right side
    8,096.62x = 50,950,895.46
  5. Step 5: Solve for x
    x = 50,950,895.46/8,096.62
  6. Step 6: Final answer
    x = 6,292.86

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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.