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Finding the Fourth Proportional to 7,166.40, 9,891.90 and 4,183.44

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Solution

The fourth proportional to 7,166.40, 9,891.90 and 4,183.44 is: 5,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.40 : 9,891.90 = 4,183.44 : x
  2. Step 2: Convert to fraction form
    7,166.40/9,891.90 = 4,183.44/x
  3. Step 3: Cross multiply
    7,166.40x = 9,891.90 × 4,183.44
  4. Step 4: Simplify right side
    7,166.40x = 41,382,170.14
  5. Step 5: Solve for x
    x = 41,382,170.14/7,166.40
  6. Step 6: Final answer
    x = 5,774.47

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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.