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Finding the Fourth Proportional to 6,745.84, 10,097.82 and 6,171.70

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Solution

The fourth proportional to 6,745.84, 10,097.82 and 6,171.70 is: 9,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.84 : 10,097.82 = 6,171.70 : x
  2. Step 2: Convert to fraction form
    6,745.84/10,097.82 = 6,171.70/x
  3. Step 3: Cross multiply
    6,745.84x = 10,097.82 × 6,171.70
  4. Step 4: Simplify right side
    6,745.84x = 62,320,715.69
  5. Step 5: Solve for x
    x = 62,320,715.69/6,745.84
  6. Step 6: Final answer
    x = 9,238.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.