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Finding the Fourth Proportional to 7,367, 10,167.50 and 4,181.08

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Solution

The fourth proportional to 7,367, 10,167.50 and 4,181.08 is: 5,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367 : 10,167.50 = 4,181.08 : x
  2. Step 2: Convert to fraction form
    7,367/10,167.50 = 4,181.08/x
  3. Step 3: Cross multiply
    7,367x = 10,167.50 × 4,181.08
  4. Step 4: Simplify right side
    7,367x = 42,511,130.90
  5. Step 5: Solve for x
    x = 42,511,130.90/7,367
  6. Step 6: Final answer
    x = 5,770.48

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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.