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Finding the Fourth Proportional to 6,149.97, 8,486.78 and 3,497.76

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Solution

The fourth proportional to 6,149.97, 8,486.78 and 3,497.76 is: 4,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.97 : 8,486.78 = 3,497.76 : x
  2. Step 2: Convert to fraction form
    6,149.97/8,486.78 = 3,497.76/x
  3. Step 3: Cross multiply
    6,149.97x = 8,486.78 × 3,497.76
  4. Step 4: Simplify right side
    6,149.97x = 29,684,702.12
  5. Step 5: Solve for x
    x = 29,684,702.12/6,149.97
  6. Step 6: Final answer
    x = 4,826.80

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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.