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Finding the Fourth Proportional to 6,453.73, 9,684.24 and 3,532.33

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Solution

The fourth proportional to 6,453.73, 9,684.24 and 3,532.33 is: 5,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.73 : 9,684.24 = 3,532.33 : x
  2. Step 2: Convert to fraction form
    6,453.73/9,684.24 = 3,532.33/x
  3. Step 3: Cross multiply
    6,453.73x = 9,684.24 × 3,532.33
  4. Step 4: Simplify right side
    6,453.73x = 34,207,931.48
  5. Step 5: Solve for x
    x = 34,207,931.48/6,453.73
  6. Step 6: Final answer
    x = 5,300.49

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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.