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Finding the Fourth Proportional to 6,149.49, 8,486.67 and 3,497.37

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Solution

The fourth proportional to 6,149.49, 8,486.67 and 3,497.37 is: 4,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.49 : 8,486.67 = 3,497.37 : x
  2. Step 2: Convert to fraction form
    6,149.49/8,486.67 = 3,497.37/x
  3. Step 3: Cross multiply
    6,149.49x = 8,486.67 × 3,497.37
  4. Step 4: Simplify right side
    6,149.49x = 29,681,025.06
  5. Step 5: Solve for x
    x = 29,681,025.06/6,149.49
  6. Step 6: Final answer
    x = 4,826.58

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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.