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Finding the Fourth Proportional to 7,574.32, 11,361.41 and 1,951.97

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Solution

The fourth proportional to 7,574.32, 11,361.41 and 1,951.97 is: 2,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.32 : 11,361.41 = 1,951.97 : x
  2. Step 2: Convert to fraction form
    7,574.32/11,361.41 = 1,951.97/x
  3. Step 3: Cross multiply
    7,574.32x = 11,361.41 × 1,951.97
  4. Step 4: Simplify right side
    7,574.32x = 22,177,121.72
  5. Step 5: Solve for x
    x = 22,177,121.72/7,574.32
  6. Step 6: Final answer
    x = 2,927.94

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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.