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Finding the Fourth Proportional to 5,609.86, 8,411.85 and 2,096.98

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Solution

The fourth proportional to 5,609.86, 8,411.85 and 2,096.98 is: 3,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.86 : 8,411.85 = 2,096.98 : x
  2. Step 2: Convert to fraction form
    5,609.86/8,411.85 = 2,096.98/x
  3. Step 3: Cross multiply
    5,609.86x = 8,411.85 × 2,096.98
  4. Step 4: Simplify right side
    5,609.86x = 17,639,481.21
  5. Step 5: Solve for x
    x = 17,639,481.21/5,609.86
  6. Step 6: Final answer
    x = 3,144.37

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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.