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Finding the Fourth Proportional to 5,076.54, 7,614.81 and 2,738.48

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Solution

The fourth proportional to 5,076.54, 7,614.81 and 2,738.48 is: 4,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.54 : 7,614.81 = 2,738.48 : x
  2. Step 2: Convert to fraction form
    5,076.54/7,614.81 = 2,738.48/x
  3. Step 3: Cross multiply
    5,076.54x = 7,614.81 × 2,738.48
  4. Step 4: Simplify right side
    5,076.54x = 20,852,966.81
  5. Step 5: Solve for x
    x = 20,852,966.81/5,076.54
  6. Step 6: Final answer
    x = 4,107.71

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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.