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Finding the Fourth Proportional to 6,460.94, 9,691.22 and 3,846.54

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Solution

The fourth proportional to 6,460.94, 9,691.22 and 3,846.54 is: 5,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.94 : 9,691.22 = 3,846.54 : x
  2. Step 2: Convert to fraction form
    6,460.94/9,691.22 = 3,846.54/x
  3. Step 3: Cross multiply
    6,460.94x = 9,691.22 × 3,846.54
  4. Step 4: Simplify right side
    6,460.94x = 37,277,665.38
  5. Step 5: Solve for x
    x = 37,277,665.38/6,460.94
  6. Step 6: Final answer
    x = 5,769.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.