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Finding the Fourth Proportional to 6,293.94, 9,441.93 and 2,134.20

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Solution

The fourth proportional to 6,293.94, 9,441.93 and 2,134.20 is: 3,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.94 : 9,441.93 = 2,134.20 : x
  2. Step 2: Convert to fraction form
    6,293.94/9,441.93 = 2,134.20/x
  3. Step 3: Cross multiply
    6,293.94x = 9,441.93 × 2,134.20
  4. Step 4: Simplify right side
    6,293.94x = 20,150,967.01
  5. Step 5: Solve for x
    x = 20,150,967.01/6,293.94
  6. Step 6: Final answer
    x = 3,201.65

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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.