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Finding the Fourth Proportional to 7,866.83, 11,796.80 and 4,168.22

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Solution

The fourth proportional to 7,866.83, 11,796.80 and 4,168.22 is: 6,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.83 : 11,796.80 = 4,168.22 : x
  2. Step 2: Convert to fraction form
    7,866.83/11,796.80 = 4,168.22/x
  3. Step 3: Cross multiply
    7,866.83x = 11,796.80 × 4,168.22
  4. Step 4: Simplify right side
    7,866.83x = 49,171,577.87
  5. Step 5: Solve for x
    x = 49,171,577.87/7,866.83
  6. Step 6: Final answer
    x = 6,250.49

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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.