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Finding the Fourth Proportional to 4,964.98, 7,447.53 and 1,843.78

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Solution

The fourth proportional to 4,964.98, 7,447.53 and 1,843.78 is: 2,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.98 : 7,447.53 = 1,843.78 : x
  2. Step 2: Convert to fraction form
    4,964.98/7,447.53 = 1,843.78/x
  3. Step 3: Cross multiply
    4,964.98x = 7,447.53 × 1,843.78
  4. Step 4: Simplify right side
    4,964.98x = 13,731,606.86
  5. Step 5: Solve for x
    x = 13,731,606.86/4,964.98
  6. Step 6: Final answer
    x = 2,765.69

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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.