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Finding the Fourth Proportional to 6,791.38, 9,362.27 and 4,768.65

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Solution

The fourth proportional to 6,791.38, 9,362.27 and 4,768.65 is: 6,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.38 : 9,362.27 = 4,768.65 : x
  2. Step 2: Convert to fraction form
    6,791.38/9,362.27 = 4,768.65/x
  3. Step 3: Cross multiply
    6,791.38x = 9,362.27 × 4,768.65
  4. Step 4: Simplify right side
    6,791.38x = 44,645,400.76
  5. Step 5: Solve for x
    x = 44,645,400.76/6,791.38
  6. Step 6: Final answer
    x = 6,573.84

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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.