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Finding the Fourth Proportional to 5,198.75, 7,795.70 and 1,733.57

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Solution

The fourth proportional to 5,198.75, 7,795.70 and 1,733.57 is: 2,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.75 : 7,795.70 = 1,733.57 : x
  2. Step 2: Convert to fraction form
    5,198.75/7,795.70 = 1,733.57/x
  3. Step 3: Cross multiply
    5,198.75x = 7,795.70 × 1,733.57
  4. Step 4: Simplify right side
    5,198.75x = 13,514,382.98
  5. Step 5: Solve for x
    x = 13,514,382.98/5,198.75
  6. Step 6: Final answer
    x = 2,599.54

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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.