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Finding the Fourth Proportional to 6,644.95, 9,954.66 and 3,714.37

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Solution

The fourth proportional to 6,644.95, 9,954.66 and 3,714.37 is: 5,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.95 : 9,954.66 = 3,714.37 : x
  2. Step 2: Convert to fraction form
    6,644.95/9,954.66 = 3,714.37/x
  3. Step 3: Cross multiply
    6,644.95x = 9,954.66 × 3,714.37
  4. Step 4: Simplify right side
    6,644.95x = 36,975,290.46
  5. Step 5: Solve for x
    x = 36,975,290.46/6,644.95
  6. Step 6: Final answer
    x = 5,564.42

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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.