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Finding the Fourth Proportional to 6,533.20, 9,807.18 and 2,640.34

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Solution

The fourth proportional to 6,533.20, 9,807.18 and 2,640.34 is: 3,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.20 : 9,807.18 = 2,640.34 : x
  2. Step 2: Convert to fraction form
    6,533.20/9,807.18 = 2,640.34/x
  3. Step 3: Cross multiply
    6,533.20x = 9,807.18 × 2,640.34
  4. Step 4: Simplify right side
    6,533.20x = 25,894,289.64
  5. Step 5: Solve for x
    x = 25,894,289.64/6,533.20
  6. Step 6: Final answer
    x = 3,963.49

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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.