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Finding the Fourth Proportional to 6,096.92, 9,147.42 and 2,586.78

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Solution

The fourth proportional to 6,096.92, 9,147.42 and 2,586.78 is: 3,881.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.92 : 9,147.42 = 2,586.78 : x
  2. Step 2: Convert to fraction form
    6,096.92/9,147.42 = 2,586.78/x
  3. Step 3: Cross multiply
    6,096.92x = 9,147.42 × 2,586.78
  4. Step 4: Simplify right side
    6,096.92x = 23,662,363.11
  5. Step 5: Solve for x
    x = 23,662,363.11/6,096.92
  6. Step 6: Final answer
    x = 3,881.04

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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.