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Finding the Fourth Proportional to 6,704.90, 10,062.15 and 3,780.10

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Solution

The fourth proportional to 6,704.90, 10,062.15 and 3,780.10 is: 5,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.90 : 10,062.15 = 3,780.10 : x
  2. Step 2: Convert to fraction form
    6,704.90/10,062.15 = 3,780.10/x
  3. Step 3: Cross multiply
    6,704.90x = 10,062.15 × 3,780.10
  4. Step 4: Simplify right side
    6,704.90x = 38,035,933.22
  5. Step 5: Solve for x
    x = 38,035,933.22/6,704.90
  6. Step 6: Final answer
    x = 5,672.86

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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.