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Finding the Fourth Proportional to 5,093.92, 7,643.42 and 1,976.07

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Solution

The fourth proportional to 5,093.92, 7,643.42 and 1,976.07 is: 2,965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.92 : 7,643.42 = 1,976.07 : x
  2. Step 2: Convert to fraction form
    5,093.92/7,643.42 = 1,976.07/x
  3. Step 3: Cross multiply
    5,093.92x = 7,643.42 × 1,976.07
  4. Step 4: Simplify right side
    5,093.92x = 15,103,932.96
  5. Step 5: Solve for x
    x = 15,103,932.96/5,093.92
  6. Step 6: Final answer
    x = 2,965.09

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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.