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Finding the Fourth Proportional to 7,166.70, 10,745.84 and 2,167.58

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Solution

The fourth proportional to 7,166.70, 10,745.84 and 2,167.58 is: 3,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.70 : 10,745.84 = 2,167.58 : x
  2. Step 2: Convert to fraction form
    7,166.70/10,745.84 = 2,167.58/x
  3. Step 3: Cross multiply
    7,166.70x = 10,745.84 × 2,167.58
  4. Step 4: Simplify right side
    7,166.70x = 23,292,467.87
  5. Step 5: Solve for x
    x = 23,292,467.87/7,166.70
  6. Step 6: Final answer
    x = 3,250.10

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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.