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Finding the Fourth Proportional to 6,096.94, 8,408.74 and 4,106.68

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Solution

The fourth proportional to 6,096.94, 8,408.74 and 4,106.68 is: 5,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.94 : 8,408.74 = 4,106.68 : x
  2. Step 2: Convert to fraction form
    6,096.94/8,408.74 = 4,106.68/x
  3. Step 3: Cross multiply
    6,096.94x = 8,408.74 × 4,106.68
  4. Step 4: Simplify right side
    6,096.94x = 34,532,004.38
  5. Step 5: Solve for x
    x = 34,532,004.38/6,096.94
  6. Step 6: Final answer
    x = 5,663.83

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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.