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Finding the Fourth Proportional to 7,832.94, 10,809 and 4,296.12

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Solution

The fourth proportional to 7,832.94, 10,809 and 4,296.12 is: 5,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.94 : 10,809 = 4,296.12 : x
  2. Step 2: Convert to fraction form
    7,832.94/10,809 = 4,296.12/x
  3. Step 3: Cross multiply
    7,832.94x = 10,809 × 4,296.12
  4. Step 4: Simplify right side
    7,832.94x = 46,436,761.08
  5. Step 5: Solve for x
    x = 46,436,761.08/7,832.94
  6. Step 6: Final answer
    x = 5,928.39

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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.