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Finding the Fourth Proportional to 4,907.73, 6,777.47 and 4,195.44

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Solution

The fourth proportional to 4,907.73, 6,777.47 and 4,195.44 is: 5,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.73 : 6,777.47 = 4,195.44 : x
  2. Step 2: Convert to fraction form
    4,907.73/6,777.47 = 4,195.44/x
  3. Step 3: Cross multiply
    4,907.73x = 6,777.47 × 4,195.44
  4. Step 4: Simplify right side
    4,907.73x = 28,434,479.23
  5. Step 5: Solve for x
    x = 28,434,479.23/4,907.73
  6. Step 6: Final answer
    x = 5,793.81

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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.