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Finding the Fourth Proportional to 6,787.86, 9,367.41 and 3,762.92

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Solution

The fourth proportional to 6,787.86, 9,367.41 and 3,762.92 is: 5,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.86 : 9,367.41 = 3,762.92 : x
  2. Step 2: Convert to fraction form
    6,787.86/9,367.41 = 3,762.92/x
  3. Step 3: Cross multiply
    6,787.86x = 9,367.41 × 3,762.92
  4. Step 4: Simplify right side
    6,787.86x = 35,248,814.44
  5. Step 5: Solve for x
    x = 35,248,814.44/6,787.86
  6. Step 6: Final answer
    x = 5,192.92

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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.