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Finding the Fourth Proportional to 8,097.68, 11,174.84 and 4,560.96

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Solution

The fourth proportional to 8,097.68, 11,174.84 and 4,560.96 is: 6,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.68 : 11,174.84 = 4,560.96 : x
  2. Step 2: Convert to fraction form
    8,097.68/11,174.84 = 4,560.96/x
  3. Step 3: Cross multiply
    8,097.68x = 11,174.84 × 4,560.96
  4. Step 4: Simplify right side
    8,097.68x = 50,967,998.25
  5. Step 5: Solve for x
    x = 50,967,998.25/8,097.68
  6. Step 6: Final answer
    x = 6,294.15

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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.