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Finding the Fourth Proportional to 6,846.65, 9,449.24 and 3,974.76

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Solution

The fourth proportional to 6,846.65, 9,449.24 and 3,974.76 is: 5,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.65 : 9,449.24 = 3,974.76 : x
  2. Step 2: Convert to fraction form
    6,846.65/9,449.24 = 3,974.76/x
  3. Step 3: Cross multiply
    6,846.65x = 9,449.24 × 3,974.76
  4. Step 4: Simplify right side
    6,846.65x = 37,558,471.12
  5. Step 5: Solve for x
    x = 37,558,471.12/6,846.65
  6. Step 6: Final answer
    x = 5,485.68

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Half scale
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Double scale
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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.