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Finding the Fourth Proportional to 9,920.40, 13,689 and 5,940.96

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Solution

The fourth proportional to 9,920.40, 13,689 and 5,940.96 is: 8,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.40 : 13,689 = 5,940.96 : x
  2. Step 2: Convert to fraction form
    9,920.40/13,689 = 5,940.96/x
  3. Step 3: Cross multiply
    9,920.40x = 13,689 × 5,940.96
  4. Step 4: Simplify right side
    9,920.40x = 81,325,801.44
  5. Step 5: Solve for x
    x = 81,325,801.44/9,920.40
  6. Step 6: Final answer
    x = 8,197.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.