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Finding the Fourth Proportional to 6,704.64, 10,051.20 and 3,237.12

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Solution

The fourth proportional to 6,704.64, 10,051.20 and 3,237.12 is: 4,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.64 : 10,051.20 = 3,237.12 : x
  2. Step 2: Convert to fraction form
    6,704.64/10,051.20 = 3,237.12/x
  3. Step 3: Cross multiply
    6,704.64x = 10,051.20 × 3,237.12
  4. Step 4: Simplify right side
    6,704.64x = 32,536,940.54
  5. Step 5: Solve for x
    x = 32,536,940.54/6,704.64
  6. Step 6: Final answer
    x = 4,852.90

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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.