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Finding the Fourth Proportional to 6,310.62, 9,458.37 and 4,458.96

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Solution

The fourth proportional to 6,310.62, 9,458.37 and 4,458.96 is: 6,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.62 : 9,458.37 = 4,458.96 : x
  2. Step 2: Convert to fraction form
    6,310.62/9,458.37 = 4,458.96/x
  3. Step 3: Cross multiply
    6,310.62x = 9,458.37 × 4,458.96
  4. Step 4: Simplify right side
    6,310.62x = 42,174,493.50
  5. Step 5: Solve for x
    x = 42,174,493.50/6,310.62
  6. Step 6: Final answer
    x = 6,683.10

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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.