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Finding the Fourth Proportional to 6,787.66, 9,367.32 and 3,804.16

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Solution

The fourth proportional to 6,787.66, 9,367.32 and 3,804.16 is: 5,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.66 : 9,367.32 = 3,804.16 : x
  2. Step 2: Convert to fraction form
    6,787.66/9,367.32 = 3,804.16/x
  3. Step 3: Cross multiply
    6,787.66x = 9,367.32 × 3,804.16
  4. Step 4: Simplify right side
    6,787.66x = 35,634,784.05
  5. Step 5: Solve for x
    x = 35,634,784.05/6,787.66
  6. Step 6: Final answer
    x = 5,249.94

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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.