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Finding the Fourth Proportional to 4,969.76, 6,857.06 and 3,676.73

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Solution

The fourth proportional to 4,969.76, 6,857.06 and 3,676.73 is: 5,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.76 : 6,857.06 = 3,676.73 : x
  2. Step 2: Convert to fraction form
    4,969.76/6,857.06 = 3,676.73/x
  3. Step 3: Cross multiply
    4,969.76x = 6,857.06 × 3,676.73
  4. Step 4: Simplify right side
    4,969.76x = 25,211,505.54
  5. Step 5: Solve for x
    x = 25,211,505.54/4,969.76
  6. Step 6: Final answer
    x = 5,072.99

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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.