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Finding the Fourth Proportional to 6,446.49, 8,900.46 and 4,951.74

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Solution

The fourth proportional to 6,446.49, 8,900.46 and 4,951.74 is: 6,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.49 : 8,900.46 = 4,951.74 : x
  2. Step 2: Convert to fraction form
    6,446.49/8,900.46 = 4,951.74/x
  3. Step 3: Cross multiply
    6,446.49x = 8,900.46 × 4,951.74
  4. Step 4: Simplify right side
    6,446.49x = 44,072,763.80
  5. Step 5: Solve for x
    x = 44,072,763.80/6,446.49
  6. Step 6: Final answer
    x = 6,836.71

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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.