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Finding the Fourth Proportional to 5,069.96, 6,996.05 and 2,944.94

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Solution

The fourth proportional to 5,069.96, 6,996.05 and 2,944.94 is: 4,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.96 : 6,996.05 = 2,944.94 : x
  2. Step 2: Convert to fraction form
    5,069.96/6,996.05 = 2,944.94/x
  3. Step 3: Cross multiply
    5,069.96x = 6,996.05 × 2,944.94
  4. Step 4: Simplify right side
    5,069.96x = 20,602,947.49
  5. Step 5: Solve for x
    x = 20,602,947.49/5,069.96
  6. Step 6: Final answer
    x = 4,063.73

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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.