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Finding the Fourth Proportional to 5,846.46, 8,049.42 and 4,731.09

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Solution

The fourth proportional to 5,846.46, 8,049.42 and 4,731.09 is: 6,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.46 : 8,049.42 = 4,731.09 : x
  2. Step 2: Convert to fraction form
    5,846.46/8,049.42 = 4,731.09/x
  3. Step 3: Cross multiply
    5,846.46x = 8,049.42 × 4,731.09
  4. Step 4: Simplify right side
    5,846.46x = 38,082,512.73
  5. Step 5: Solve for x
    x = 38,082,512.73/5,846.46
  6. Step 6: Final answer
    x = 6,513.77

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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.