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Finding the Fourth Proportional to 4,604.46, 6,913.72 and 4,414.92

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Solution

The fourth proportional to 4,604.46, 6,913.72 and 4,414.92 is: 6,629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.46 : 6,913.72 = 4,414.92 : x
  2. Step 2: Convert to fraction form
    4,604.46/6,913.72 = 4,414.92/x
  3. Step 3: Cross multiply
    4,604.46x = 6,913.72 × 4,414.92
  4. Step 4: Simplify right side
    4,604.46x = 30,523,500.29
  5. Step 5: Solve for x
    x = 30,523,500.29/4,604.46
  6. Step 6: Final answer
    x = 6,629.12

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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.