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Finding the Fourth Proportional to 6,147.84, 8,481.47 and 3,910.95

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Solution

The fourth proportional to 6,147.84, 8,481.47 and 3,910.95 is: 5,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.84 : 8,481.47 = 3,910.95 : x
  2. Step 2: Convert to fraction form
    6,147.84/8,481.47 = 3,910.95/x
  3. Step 3: Cross multiply
    6,147.84x = 8,481.47 × 3,910.95
  4. Step 4: Simplify right side
    6,147.84x = 33,170,605.10
  5. Step 5: Solve for x
    x = 33,170,605.10/6,147.84
  6. Step 6: Final answer
    x = 5,395.49

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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.