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Finding the Fourth Proportional to 7,796.54, 11,747.42 and 6,440.26

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Solution

The fourth proportional to 7,796.54, 11,747.42 and 6,440.26 is: 9,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.54 : 11,747.42 = 6,440.26 : x
  2. Step 2: Convert to fraction form
    7,796.54/11,747.42 = 6,440.26/x
  3. Step 3: Cross multiply
    7,796.54x = 11,747.42 × 6,440.26
  4. Step 4: Simplify right side
    7,796.54x = 75,656,439.13
  5. Step 5: Solve for x
    x = 75,656,439.13/7,796.54
  6. Step 6: Final answer
    x = 9,703.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.