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Finding the Fourth Proportional to 6,049.50, 9,066.33 and 4,114.14

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Solution

The fourth proportional to 6,049.50, 9,066.33 and 4,114.14 is: 6,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.50 : 9,066.33 = 4,114.14 : x
  2. Step 2: Convert to fraction form
    6,049.50/9,066.33 = 4,114.14/x
  3. Step 3: Cross multiply
    6,049.50x = 9,066.33 × 4,114.14
  4. Step 4: Simplify right side
    6,049.50x = 37,300,150.91
  5. Step 5: Solve for x
    x = 37,300,150.91/6,049.50
  6. Step 6: Final answer
    x = 6,165.82

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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.