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Finding the Fourth Proportional to 11,683, 17,527.38 and 3,475

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Solution

The fourth proportional to 11,683, 17,527.38 and 3,475 is: 5,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683 : 17,527.38 = 3,475 : x
  2. Step 2: Convert to fraction form
    11,683/17,527.38 = 3,475/x
  3. Step 3: Cross multiply
    11,683x = 17,527.38 × 3,475
  4. Step 4: Simplify right side
    11,683x = 60,907,645.50
  5. Step 5: Solve for x
    x = 60,907,645.50/11,683
  6. Step 6: Final answer
    x = 5,213.36

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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.