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Finding the Fourth Proportional to 5,198.46, 7,798.05 and 1,735.62

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Solution

The fourth proportional to 5,198.46, 7,798.05 and 1,735.62 is: 2,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.46 : 7,798.05 = 1,735.62 : x
  2. Step 2: Convert to fraction form
    5,198.46/7,798.05 = 1,735.62/x
  3. Step 3: Cross multiply
    5,198.46x = 7,798.05 × 1,735.62
  4. Step 4: Simplify right side
    5,198.46x = 13,534,451.54
  5. Step 5: Solve for x
    x = 13,534,451.54/5,198.46
  6. Step 6: Final answer
    x = 2,603.55

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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.