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Finding the Fourth Proportional to 6,539.50, 9,809.93 and 2,096.07

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Solution

The fourth proportional to 6,539.50, 9,809.93 and 2,096.07 is: 3,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.50 : 9,809.93 = 2,096.07 : x
  2. Step 2: Convert to fraction form
    6,539.50/9,809.93 = 2,096.07/x
  3. Step 3: Cross multiply
    6,539.50x = 9,809.93 × 2,096.07
  4. Step 4: Simplify right side
    6,539.50x = 20,562,289.49
  5. Step 5: Solve for x
    x = 20,562,289.49/6,539.50
  6. Step 6: Final answer
    x = 3,144.32

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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.