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Finding the Fourth Proportional to 6,556.50, 9,833.76 and 2,173.41

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Solution

The fourth proportional to 6,556.50, 9,833.76 and 2,173.41 is: 3,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.50 : 9,833.76 = 2,173.41 : x
  2. Step 2: Convert to fraction form
    6,556.50/9,833.76 = 2,173.41/x
  3. Step 3: Cross multiply
    6,556.50x = 9,833.76 × 2,173.41
  4. Step 4: Simplify right side
    6,556.50x = 21,372,792.32
  5. Step 5: Solve for x
    x = 21,372,792.32/6,556.50
  6. Step 6: Final answer
    x = 3,259.79

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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.