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Finding the Fourth Proportional to 6,644.10, 9,948.33 and 3,714.06

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Solution

The fourth proportional to 6,644.10, 9,948.33 and 3,714.06 is: 5,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.10 : 9,948.33 = 3,714.06 : x
  2. Step 2: Convert to fraction form
    6,644.10/9,948.33 = 3,714.06/x
  3. Step 3: Cross multiply
    6,644.10x = 9,948.33 × 3,714.06
  4. Step 4: Simplify right side
    6,644.10x = 36,948,694.52
  5. Step 5: Solve for x
    x = 36,948,694.52/6,644.10
  6. Step 6: Final answer
    x = 5,561.13

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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.