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Finding the Fourth Proportional to 6,495.84, 8,964.20 and 3,663.09

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Solution

The fourth proportional to 6,495.84, 8,964.20 and 3,663.09 is: 5,055.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.84 : 8,964.20 = 3,663.09 : x
  2. Step 2: Convert to fraction form
    6,495.84/8,964.20 = 3,663.09/x
  3. Step 3: Cross multiply
    6,495.84x = 8,964.20 × 3,663.09
  4. Step 4: Simplify right side
    6,495.84x = 32,836,680.54
  5. Step 5: Solve for x
    x = 32,836,680.54/6,495.84
  6. Step 6: Final answer
    x = 5,055.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.