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Finding the Fourth Proportional to 7,171.28, 9,896.28 and 4,028

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Solution

The fourth proportional to 7,171.28, 9,896.28 and 4,028 is: 5,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.28 : 9,896.28 = 4,028 : x
  2. Step 2: Convert to fraction form
    7,171.28/9,896.28 = 4,028/x
  3. Step 3: Cross multiply
    7,171.28x = 9,896.28 × 4,028
  4. Step 4: Simplify right side
    7,171.28x = 39,862,215.84
  5. Step 5: Solve for x
    x = 39,862,215.84/7,171.28
  6. Step 6: Final answer
    x = 5,558.59

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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.