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Finding the Fourth Proportional to 6,101.39, 8,419.87 and 3,449.32

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Solution

The fourth proportional to 6,101.39, 8,419.87 and 3,449.32 is: 4,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.39 : 8,419.87 = 3,449.32 : x
  2. Step 2: Convert to fraction form
    6,101.39/8,419.87 = 3,449.32/x
  3. Step 3: Cross multiply
    6,101.39x = 8,419.87 × 3,449.32
  4. Step 4: Simplify right side
    6,101.39x = 29,042,825.99
  5. Step 5: Solve for x
    x = 29,042,825.99/6,101.39
  6. Step 6: Final answer
    x = 4,760.03

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1.5x scale

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.