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Finding the Fourth Proportional to 10,594.56, 15,894 and 3,198.72

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Solution

The fourth proportional to 10,594.56, 15,894 and 3,198.72 is: 4,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.56 : 15,894 = 3,198.72 : x
  2. Step 2: Convert to fraction form
    10,594.56/15,894 = 3,198.72/x
  3. Step 3: Cross multiply
    10,594.56x = 15,894 × 3,198.72
  4. Step 4: Simplify right side
    10,594.56x = 50,840,455.68
  5. Step 5: Solve for x
    x = 50,840,455.68/10,594.56
  6. Step 6: Final answer
    x = 4,798.73

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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.