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Finding the Fourth Proportional to 17,975.82, 26,964 and 6,289.41

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Solution

The fourth proportional to 17,975.82, 26,964 and 6,289.41 is: 9,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,975.82 : 26,964 = 6,289.41 : x
  2. Step 2: Convert to fraction form
    17,975.82/26,964 = 6,289.41/x
  3. Step 3: Cross multiply
    17,975.82x = 26,964 × 6,289.41
  4. Step 4: Simplify right side
    17,975.82x = 169,587,651.24
  5. Step 5: Solve for x
    x = 169,587,651.24/17,975.82
  6. Step 6: Final answer
    x = 9,434.21

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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.