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Finding the Fourth Proportional to 7,846.82, 10,833.68 and 4,865.82

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Solution

The fourth proportional to 7,846.82, 10,833.68 and 4,865.82 is: 6,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.82 : 10,833.68 = 4,865.82 : x
  2. Step 2: Convert to fraction form
    7,846.82/10,833.68 = 4,865.82/x
  3. Step 3: Cross multiply
    7,846.82x = 10,833.68 × 4,865.82
  4. Step 4: Simplify right side
    7,846.82x = 52,714,736.82
  5. Step 5: Solve for x
    x = 52,714,736.82/7,846.82
  6. Step 6: Final answer
    x = 6,717.97

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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.