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Finding the Fourth Proportional to 9,873.82, 13,625.38 and 5,893.48

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Solution

The fourth proportional to 9,873.82, 13,625.38 and 5,893.48 is: 8,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.82 : 13,625.38 = 5,893.48 : x
  2. Step 2: Convert to fraction form
    9,873.82/13,625.38 = 5,893.48/x
  3. Step 3: Cross multiply
    9,873.82x = 13,625.38 × 5,893.48
  4. Step 4: Simplify right side
    9,873.82x = 80,300,928.92
  5. Step 5: Solve for x
    x = 80,300,928.92/9,873.82
  6. Step 6: Final answer
    x = 8,132.71

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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.