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Finding the Fourth Proportional to 13,823.39, 20,735.09 and 4,589.39

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Solution

The fourth proportional to 13,823.39, 20,735.09 and 4,589.39 is: 6,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.39 : 20,735.09 = 4,589.39 : x
  2. Step 2: Convert to fraction form
    13,823.39/20,735.09 = 4,589.39/x
  3. Step 3: Cross multiply
    13,823.39x = 20,735.09 × 4,589.39
  4. Step 4: Simplify right side
    13,823.39x = 95,161,443.59
  5. Step 5: Solve for x
    x = 95,161,443.59/13,823.39
  6. Step 6: Final answer
    x = 6,884.09

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1.5x scale

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.