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Finding the Fourth Proportional to 3,428.87, 5,142.96 and 963.63

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Solution

The fourth proportional to 3,428.87, 5,142.96 and 963.63 is: 1,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.87 : 5,142.96 = 963.63 : x
  2. Step 2: Convert to fraction form
    3,428.87/5,142.96 = 963.63/x
  3. Step 3: Cross multiply
    3,428.87x = 5,142.96 × 963.63
  4. Step 4: Simplify right side
    3,428.87x = 4,955,910.54
  5. Step 5: Solve for x
    x = 4,955,910.54/3,428.87
  6. Step 6: Final answer
    x = 1,445.35

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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.