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Finding the Fourth Proportional to 6,659.52, 9,976.32 and 4,344

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Solution

The fourth proportional to 6,659.52, 9,976.32 and 4,344 is: 6,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.52 : 9,976.32 = 4,344 : x
  2. Step 2: Convert to fraction form
    6,659.52/9,976.32 = 4,344/x
  3. Step 3: Cross multiply
    6,659.52x = 9,976.32 × 4,344
  4. Step 4: Simplify right side
    6,659.52x = 43,337,134.08
  5. Step 5: Solve for x
    x = 43,337,134.08/6,659.52
  6. Step 6: Final answer
    x = 6,507.55

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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.