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Finding the Fourth Proportional to 6,147.60, 8,481.30 and 3,494.64

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Solution

The fourth proportional to 6,147.60, 8,481.30 and 3,494.64 is: 4,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.60 : 8,481.30 = 3,494.64 : x
  2. Step 2: Convert to fraction form
    6,147.60/8,481.30 = 3,494.64/x
  3. Step 3: Cross multiply
    6,147.60x = 8,481.30 × 3,494.64
  4. Step 4: Simplify right side
    6,147.60x = 29,639,090.23
  5. Step 5: Solve for x
    x = 29,639,090.23/6,147.60
  6. Step 6: Final answer
    x = 4,821.25

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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.