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Finding the Fourth Proportional to 7,367, 10,166.90 and 4,180.42

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Solution

The fourth proportional to 7,367, 10,166.90 and 4,180.42 is: 5,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367 : 10,166.90 = 4,180.42 : x
  2. Step 2: Convert to fraction form
    7,367/10,166.90 = 4,180.42/x
  3. Step 3: Cross multiply
    7,367x = 10,166.90 × 4,180.42
  4. Step 4: Simplify right side
    7,367x = 42,501,912.10
  5. Step 5: Solve for x
    x = 42,501,912.10/7,367
  6. Step 6: Final answer
    x = 5,769.23

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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.