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Finding the Fourth Proportional to 4,760.92, 6,569.22 and 2,664.64

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Solution

The fourth proportional to 4,760.92, 6,569.22 and 2,664.64 is: 3,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.92 : 6,569.22 = 2,664.64 : x
  2. Step 2: Convert to fraction form
    4,760.92/6,569.22 = 2,664.64/x
  3. Step 3: Cross multiply
    4,760.92x = 6,569.22 × 2,664.64
  4. Step 4: Simplify right side
    4,760.92x = 17,504,606.38
  5. Step 5: Solve for x
    x = 17,504,606.38/4,760.92
  6. Step 6: Final answer
    x = 3,676.73

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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.