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Finding the Fourth Proportional to 3,675.28, 5,512.94 and 901.97

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Solution

The fourth proportional to 3,675.28, 5,512.94 and 901.97 is: 1,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.28 : 5,512.94 = 901.97 : x
  2. Step 2: Convert to fraction form
    3,675.28/5,512.94 = 901.97/x
  3. Step 3: Cross multiply
    3,675.28x = 5,512.94 × 901.97
  4. Step 4: Simplify right side
    3,675.28x = 4,972,506.49
  5. Step 5: Solve for x
    x = 4,972,506.49/3,675.28
  6. Step 6: Final answer
    x = 1,352.96

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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.