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Finding the Fourth Proportional to 6,127.06, 8,454 and 3,473.86

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Solution

The fourth proportional to 6,127.06, 8,454 and 3,473.86 is: 4,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.06 : 8,454 = 3,473.86 : x
  2. Step 2: Convert to fraction form
    6,127.06/8,454 = 3,473.86/x
  3. Step 3: Cross multiply
    6,127.06x = 8,454 × 3,473.86
  4. Step 4: Simplify right side
    6,127.06x = 29,368,012.44
  5. Step 5: Solve for x
    x = 29,368,012.44/6,127.06
  6. Step 6: Final answer
    x = 4,793.17

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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.