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Finding the Fourth Proportional to 4,653.45, 6,414.67 and 3,942.67

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Solution

The fourth proportional to 4,653.45, 6,414.67 and 3,942.67 is: 5,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.45 : 6,414.67 = 3,942.67 : x
  2. Step 2: Convert to fraction form
    4,653.45/6,414.67 = 3,942.67/x
  3. Step 3: Cross multiply
    4,653.45x = 6,414.67 × 3,942.67
  4. Step 4: Simplify right side
    4,653.45x = 25,290,926.97
  5. Step 5: Solve for x
    x = 25,290,926.97/4,653.45
  6. Step 6: Final answer
    x = 5,434.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.