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Finding the Fourth Proportional to 6,845.75, 9,447.14 and 3,701.94

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Solution

The fourth proportional to 6,845.75, 9,447.14 and 3,701.94 is: 5,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.75 : 9,447.14 = 3,701.94 : x
  2. Step 2: Convert to fraction form
    6,845.75/9,447.14 = 3,701.94/x
  3. Step 3: Cross multiply
    6,845.75x = 9,447.14 × 3,701.94
  4. Step 4: Simplify right side
    6,845.75x = 34,972,745.45
  5. Step 5: Solve for x
    x = 34,972,745.45/6,845.75
  6. Step 6: Final answer
    x = 5,108.68

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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.