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Finding the Fourth Proportional to 7,840.56, 11,763.84 and 2,912.40

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Solution

The fourth proportional to 7,840.56, 11,763.84 and 2,912.40 is: 4,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.56 : 11,763.84 = 2,912.40 : x
  2. Step 2: Convert to fraction form
    7,840.56/11,763.84 = 2,912.40/x
  3. Step 3: Cross multiply
    7,840.56x = 11,763.84 × 2,912.40
  4. Step 4: Simplify right side
    7,840.56x = 34,261,007.62
  5. Step 5: Solve for x
    x = 34,261,007.62/7,840.56
  6. Step 6: Final answer
    x = 4,369.71

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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.