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Finding the Fourth Proportional to 4,968.64, 6,858.88 and 3,202.56

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Solution

The fourth proportional to 4,968.64, 6,858.88 and 3,202.56 is: 4,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.64 : 6,858.88 = 3,202.56 : x
  2. Step 2: Convert to fraction form
    4,968.64/6,858.88 = 3,202.56/x
  3. Step 3: Cross multiply
    4,968.64x = 6,858.88 × 3,202.56
  4. Step 4: Simplify right side
    4,968.64x = 21,965,974.73
  5. Step 5: Solve for x
    x = 21,965,974.73/4,968.64
  6. Step 6: Final answer
    x = 4,420.92

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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.