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Finding the Fourth Proportional to 6,787.72, 9,366.46 and 3,803.16

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Solution

The fourth proportional to 6,787.72, 9,366.46 and 3,803.16 is: 5,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.72 : 9,366.46 = 3,803.16 : x
  2. Step 2: Convert to fraction form
    6,787.72/9,366.46 = 3,803.16/x
  3. Step 3: Cross multiply
    6,787.72x = 9,366.46 × 3,803.16
  4. Step 4: Simplify right side
    6,787.72x = 35,622,146.01
  5. Step 5: Solve for x
    x = 35,622,146.01/6,787.72
  6. Step 6: Final answer
    x = 5,248.03

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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.