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Finding the Fourth Proportional to 6,558.80, 9,842.26 and 2,663.24

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Solution

The fourth proportional to 6,558.80, 9,842.26 and 2,663.24 is: 3,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.80 : 9,842.26 = 2,663.24 : x
  2. Step 2: Convert to fraction form
    6,558.80/9,842.26 = 2,663.24/x
  3. Step 3: Cross multiply
    6,558.80x = 9,842.26 × 2,663.24
  4. Step 4: Simplify right side
    6,558.80x = 26,212,300.52
  5. Step 5: Solve for x
    x = 26,212,300.52/6,558.80
  6. Step 6: Final answer
    x = 3,996.51

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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.