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Finding the Fourth Proportional to 7,978, 11,961.46 and 3,533.56

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Solution

The fourth proportional to 7,978, 11,961.46 and 3,533.56 is: 5,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978 : 11,961.46 = 3,533.56 : x
  2. Step 2: Convert to fraction form
    7,978/11,961.46 = 3,533.56/x
  3. Step 3: Cross multiply
    7,978x = 11,961.46 × 3,533.56
  4. Step 4: Simplify right side
    7,978x = 42,266,536.60
  5. Step 5: Solve for x
    x = 42,266,536.60/7,978
  6. Step 6: Final answer
    x = 5,297.89

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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.