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Finding the Fourth Proportional to 6,787.68, 9,366.48 and 3,803.44

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Solution

The fourth proportional to 6,787.68, 9,366.48 and 3,803.44 is: 5,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.68 : 9,366.48 = 3,803.44 : x
  2. Step 2: Convert to fraction form
    6,787.68/9,366.48 = 3,803.44/x
  3. Step 3: Cross multiply
    6,787.68x = 9,366.48 × 3,803.44
  4. Step 4: Simplify right side
    6,787.68x = 35,624,844.69
  5. Step 5: Solve for x
    x = 35,624,844.69/6,787.68
  6. Step 6: Final answer
    x = 5,248.46

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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.