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Finding the Fourth Proportional to 4,963.74, 7,446.75 and 1,453.67

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Solution

The fourth proportional to 4,963.74, 7,446.75 and 1,453.67 is: 2,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.74 : 7,446.75 = 1,453.67 : x
  2. Step 2: Convert to fraction form
    4,963.74/7,446.75 = 1,453.67/x
  3. Step 3: Cross multiply
    4,963.74x = 7,446.75 × 1,453.67
  4. Step 4: Simplify right side
    4,963.74x = 10,825,079.84
  5. Step 5: Solve for x
    x = 10,825,079.84/4,963.74
  6. Step 6: Final answer
    x = 2,180.83

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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.