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Finding the Fourth Proportional to 6,049.25, 9,065.36 and 4,811.17

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Solution

The fourth proportional to 6,049.25, 9,065.36 and 4,811.17 is: 7,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.25 : 9,065.36 = 4,811.17 : x
  2. Step 2: Convert to fraction form
    6,049.25/9,065.36 = 4,811.17/x
  3. Step 3: Cross multiply
    6,049.25x = 9,065.36 × 4,811.17
  4. Step 4: Simplify right side
    6,049.25x = 43,614,942.74
  5. Step 5: Solve for x
    x = 43,614,942.74/6,049.25
  6. Step 6: Final answer
    x = 7,209.98

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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.