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Finding the Fourth Proportional to 6,549.36, 9,821.52 and 2,388.48

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Solution

The fourth proportional to 6,549.36, 9,821.52 and 2,388.48 is: 3,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.36 : 9,821.52 = 2,388.48 : x
  2. Step 2: Convert to fraction form
    6,549.36/9,821.52 = 2,388.48/x
  3. Step 3: Cross multiply
    6,549.36x = 9,821.52 × 2,388.48
  4. Step 4: Simplify right side
    6,549.36x = 23,458,504.09
  5. Step 5: Solve for x
    x = 23,458,504.09/6,549.36
  6. Step 6: Final answer
    x = 3,581.80

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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.