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Finding the Fourth Proportional to 7,027.64, 9,698.14 and 3,883.80

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Solution

The fourth proportional to 7,027.64, 9,698.14 and 3,883.80 is: 5,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.64 : 9,698.14 = 3,883.80 : x
  2. Step 2: Convert to fraction form
    7,027.64/9,698.14 = 3,883.80/x
  3. Step 3: Cross multiply
    7,027.64x = 9,698.14 × 3,883.80
  4. Step 4: Simplify right side
    7,027.64x = 37,665,636.13
  5. Step 5: Solve for x
    x = 37,665,636.13/7,027.64
  6. Step 6: Final answer
    x = 5,359.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.