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Finding the Fourth Proportional to 6,787.80, 9,364.68 and 3,993.30

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Solution

The fourth proportional to 6,787.80, 9,364.68 and 3,993.30 is: 5,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.80 : 9,364.68 = 3,993.30 : x
  2. Step 2: Convert to fraction form
    6,787.80/9,364.68 = 3,993.30/x
  3. Step 3: Cross multiply
    6,787.80x = 9,364.68 × 3,993.30
  4. Step 4: Simplify right side
    6,787.80x = 37,395,976.64
  5. Step 5: Solve for x
    x = 37,395,976.64/6,787.80
  6. Step 6: Final answer
    x = 5,509.29

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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.