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Finding the Fourth Proportional to 6,837.75, 9,436.64 and 3,813.30

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Solution

The fourth proportional to 6,837.75, 9,436.64 and 3,813.30 is: 5,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.75 : 9,436.64 = 3,813.30 : x
  2. Step 2: Convert to fraction form
    6,837.75/9,436.64 = 3,813.30/x
  3. Step 3: Cross multiply
    6,837.75x = 9,436.64 × 3,813.30
  4. Step 4: Simplify right side
    6,837.75x = 35,984,720.25
  5. Step 5: Solve for x
    x = 35,984,720.25/6,837.75
  6. Step 6: Final answer
    x = 5,262.66

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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.