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Finding the Fourth Proportional to 6,714.69, 10,069.32 and 2,033.25

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Solution

The fourth proportional to 6,714.69, 10,069.32 and 2,033.25 is: 3,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.69 : 10,069.32 = 2,033.25 : x
  2. Step 2: Convert to fraction form
    6,714.69/10,069.32 = 2,033.25/x
  3. Step 3: Cross multiply
    6,714.69x = 10,069.32 × 2,033.25
  4. Step 4: Simplify right side
    6,714.69x = 20,473,444.89
  5. Step 5: Solve for x
    x = 20,473,444.89/6,714.69
  6. Step 6: Final answer
    x = 3,049.05

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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.