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Finding the Fourth Proportional to 6,644.16, 9,957.54 and 3,355.47

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Solution

The fourth proportional to 6,644.16, 9,957.54 and 3,355.47 is: 5,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.16 : 9,957.54 = 3,355.47 : x
  2. Step 2: Convert to fraction form
    6,644.16/9,957.54 = 3,355.47/x
  3. Step 3: Cross multiply
    6,644.16x = 9,957.54 × 3,355.47
  4. Step 4: Simplify right side
    6,644.16x = 33,412,226.74
  5. Step 5: Solve for x
    x = 33,412,226.74/6,644.16
  6. Step 6: Final answer
    x = 5,028.81

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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.