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Finding the Fourth Proportional to 6,502.09, 9,753.42 and 2,119.60

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Solution

The fourth proportional to 6,502.09, 9,753.42 and 2,119.60 is: 3,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.09 : 9,753.42 = 2,119.60 : x
  2. Step 2: Convert to fraction form
    6,502.09/9,753.42 = 2,119.60/x
  3. Step 3: Cross multiply
    6,502.09x = 9,753.42 × 2,119.60
  4. Step 4: Simplify right side
    6,502.09x = 20,673,349.03
  5. Step 5: Solve for x
    x = 20,673,349.03/6,502.09
  6. Step 6: Final answer
    x = 3,179.49

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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.