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Finding the Fourth Proportional to 4,450, 6,674.54 and 1,162.67

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Solution

The fourth proportional to 4,450, 6,674.54 and 1,162.67 is: 1,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450 : 6,674.54 = 1,162.67 : x
  2. Step 2: Convert to fraction form
    4,450/6,674.54 = 1,162.67/x
  3. Step 3: Cross multiply
    4,450x = 6,674.54 × 1,162.67
  4. Step 4: Simplify right side
    4,450x = 7,760,254.05
  5. Step 5: Solve for x
    x = 7,760,254.05/4,450
  6. Step 6: Final answer
    x = 1,743.88

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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.