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Finding the Fourth Proportional to 7,329, 10,993.56 and 1,782.37

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Solution

The fourth proportional to 7,329, 10,993.56 and 1,782.37 is: 2,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329 : 10,993.56 = 1,782.37 : x
  2. Step 2: Convert to fraction form
    7,329/10,993.56 = 1,782.37/x
  3. Step 3: Cross multiply
    7,329x = 10,993.56 × 1,782.37
  4. Step 4: Simplify right side
    7,329x = 19,594,591.54
  5. Step 5: Solve for x
    x = 19,594,591.54/7,329
  6. Step 6: Final answer
    x = 2,673.57

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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.