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Finding the Fourth Proportional to 4,809.56, 7,213.16 and 1,847.40

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Solution

The fourth proportional to 4,809.56, 7,213.16 and 1,847.40 is: 2,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.56 : 7,213.16 = 1,847.40 : x
  2. Step 2: Convert to fraction form
    4,809.56/7,213.16 = 1,847.40/x
  3. Step 3: Cross multiply
    4,809.56x = 7,213.16 × 1,847.40
  4. Step 4: Simplify right side
    4,809.56x = 13,325,591.78
  5. Step 5: Solve for x
    x = 13,325,591.78/4,809.56
  6. Step 6: Final answer
    x = 2,770.65

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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.