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Finding the Fourth Proportional to 6,771.57, 9,345.06 and 3,787.74

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Solution

The fourth proportional to 6,771.57, 9,345.06 and 3,787.74 is: 5,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.57 : 9,345.06 = 3,787.74 : x
  2. Step 2: Convert to fraction form
    6,771.57/9,345.06 = 3,787.74/x
  3. Step 3: Cross multiply
    6,771.57x = 9,345.06 × 3,787.74
  4. Step 4: Simplify right side
    6,771.57x = 35,396,657.56
  5. Step 5: Solve for x
    x = 35,396,657.56/6,771.57
  6. Step 6: Final answer
    x = 5,227.25

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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.