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Finding the Fourth Proportional to 6,096.67, 9,144.87 and 2,809.76

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Solution

The fourth proportional to 6,096.67, 9,144.87 and 2,809.76 is: 4,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.67 : 9,144.87 = 2,809.76 : x
  2. Step 2: Convert to fraction form
    6,096.67/9,144.87 = 2,809.76/x
  3. Step 3: Cross multiply
    6,096.67x = 9,144.87 × 2,809.76
  4. Step 4: Simplify right side
    6,096.67x = 25,694,889.93
  5. Step 5: Solve for x
    x = 25,694,889.93/6,096.67
  6. Step 6: Final answer
    x = 4,214.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.