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Finding the Fourth Proportional to 6,771.83, 9,344.75 and 3,787.08

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Solution

The fourth proportional to 6,771.83, 9,344.75 and 3,787.08 is: 5,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.83 : 9,344.75 = 3,787.08 : x
  2. Step 2: Convert to fraction form
    6,771.83/9,344.75 = 3,787.08/x
  3. Step 3: Cross multiply
    6,771.83x = 9,344.75 × 3,787.08
  4. Step 4: Simplify right side
    6,771.83x = 35,389,296.89
  5. Step 5: Solve for x
    x = 35,389,296.89/6,771.83
  6. Step 6: Final answer
    x = 5,225.96

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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.