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Finding the Fourth Proportional to 6,099.10, 9,134 and 3,318.86

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Solution

The fourth proportional to 6,099.10, 9,134 and 3,318.86 is: 4,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.10 : 9,134 = 3,318.86 : x
  2. Step 2: Convert to fraction form
    6,099.10/9,134 = 3,318.86/x
  3. Step 3: Cross multiply
    6,099.10x = 9,134 × 3,318.86
  4. Step 4: Simplify right side
    6,099.10x = 30,314,467.24
  5. Step 5: Solve for x
    x = 30,314,467.24/6,099.10
  6. Step 6: Final answer
    x = 4,970.32

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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.