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Finding the Fourth Proportional to 5,009.94, 6,913.46 and 2,771.78

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Solution

The fourth proportional to 5,009.94, 6,913.46 and 2,771.78 is: 3,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.94 : 6,913.46 = 2,771.78 : x
  2. Step 2: Convert to fraction form
    5,009.94/6,913.46 = 2,771.78/x
  3. Step 3: Cross multiply
    5,009.94x = 6,913.46 × 2,771.78
  4. Step 4: Simplify right side
    5,009.94x = 19,162,541.73
  5. Step 5: Solve for x
    x = 19,162,541.73/5,009.94
  6. Step 6: Final answer
    x = 3,824.90

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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.