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Finding the Fourth Proportional to 6,049.62, 9,065.92 and 4,811.54

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Solution

The fourth proportional to 6,049.62, 9,065.92 and 4,811.54 is: 7,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.62 : 9,065.92 = 4,811.54 : x
  2. Step 2: Convert to fraction form
    6,049.62/9,065.92 = 4,811.54/x
  3. Step 3: Cross multiply
    6,049.62x = 9,065.92 × 4,811.54
  4. Step 4: Simplify right side
    6,049.62x = 43,621,036.72
  5. Step 5: Solve for x
    x = 43,621,036.72/6,049.62
  6. Step 6: Final answer
    x = 7,210.54

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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.