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Finding the Fourth Proportional to 6,974.74, 10,463.02 and 2,591.63

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Solution

The fourth proportional to 6,974.74, 10,463.02 and 2,591.63 is: 3,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.74 : 10,463.02 = 2,591.63 : x
  2. Step 2: Convert to fraction form
    6,974.74/10,463.02 = 2,591.63/x
  3. Step 3: Cross multiply
    6,974.74x = 10,463.02 × 2,591.63
  4. Step 4: Simplify right side
    6,974.74x = 27,116,276.52
  5. Step 5: Solve for x
    x = 27,116,276.52/6,974.74
  6. Step 6: Final answer
    x = 3,887.78

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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.