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Finding the Fourth Proportional to 6,102.08, 8,420.16 and 3,449.44

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Solution

The fourth proportional to 6,102.08, 8,420.16 and 3,449.44 is: 4,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.08 : 8,420.16 = 3,449.44 : x
  2. Step 2: Convert to fraction form
    6,102.08/8,420.16 = 3,449.44/x
  3. Step 3: Cross multiply
    6,102.08x = 8,420.16 × 3,449.44
  4. Step 4: Simplify right side
    6,102.08x = 29,044,836.71
  5. Step 5: Solve for x
    x = 29,044,836.71/6,102.08
  6. Step 6: Final answer
    x = 4,759.83

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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.