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Finding the Fourth Proportional to 6,978.56, 9,628.03 and 4,325

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Solution

The fourth proportional to 6,978.56, 9,628.03 and 4,325 is: 5,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.56 : 9,628.03 = 4,325 : x
  2. Step 2: Convert to fraction form
    6,978.56/9,628.03 = 4,325/x
  3. Step 3: Cross multiply
    6,978.56x = 9,628.03 × 4,325
  4. Step 4: Simplify right side
    6,978.56x = 41,641,229.75
  5. Step 5: Solve for x
    x = 41,641,229.75/6,978.56
  6. Step 6: Final answer
    x = 5,967.02

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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.