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Finding the Fourth Proportional to 5,198.49, 7,825.83 and 4,746.51

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Solution

The fourth proportional to 5,198.49, 7,825.83 and 4,746.51 is: 7,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.49 : 7,825.83 = 4,746.51 : x
  2. Step 2: Convert to fraction form
    5,198.49/7,825.83 = 4,746.51/x
  3. Step 3: Cross multiply
    5,198.49x = 7,825.83 × 4,746.51
  4. Step 4: Simplify right side
    5,198.49x = 37,145,380.35
  5. Step 5: Solve for x
    x = 37,145,380.35/5,198.49
  6. Step 6: Final answer
    x = 7,145.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.