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Finding the Fourth Proportional to 4,116.21, 6,174.21 and 1,194.50

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Solution

The fourth proportional to 4,116.21, 6,174.21 and 1,194.50 is: 1,791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.21 : 6,174.21 = 1,194.50 : x
  2. Step 2: Convert to fraction form
    4,116.21/6,174.21 = 1,194.50/x
  3. Step 3: Cross multiply
    4,116.21x = 6,174.21 × 1,194.50
  4. Step 4: Simplify right side
    4,116.21x = 7,375,093.85
  5. Step 5: Solve for x
    x = 7,375,093.85/4,116.21
  6. Step 6: Final answer
    x = 1,791.72

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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.