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Finding the Fourth Proportional to 6,974.62, 9,624.76 and 3,787.76

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Solution

The fourth proportional to 6,974.62, 9,624.76 and 3,787.76 is: 5,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.62 : 9,624.76 = 3,787.76 : x
  2. Step 2: Convert to fraction form
    6,974.62/9,624.76 = 3,787.76/x
  3. Step 3: Cross multiply
    6,974.62x = 9,624.76 × 3,787.76
  4. Step 4: Simplify right side
    6,974.62x = 36,456,295.53
  5. Step 5: Solve for x
    x = 36,456,295.53/6,974.62
  6. Step 6: Final answer
    x = 5,227.00

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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.