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Finding the Fourth Proportional to 6,449.69, 9,675.14 and 2,007.39

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Solution

The fourth proportional to 6,449.69, 9,675.14 and 2,007.39 is: 3,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.69 : 9,675.14 = 2,007.39 : x
  2. Step 2: Convert to fraction form
    6,449.69/9,675.14 = 2,007.39/x
  3. Step 3: Cross multiply
    6,449.69x = 9,675.14 × 2,007.39
  4. Step 4: Simplify right side
    6,449.69x = 19,421,769.25
  5. Step 5: Solve for x
    x = 19,421,769.25/6,449.69
  6. Step 6: Final answer
    x = 3,011.27

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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.