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Finding the Fourth Proportional to 9,797.82, 14,707.26 and 3,958.26

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Solution

The fourth proportional to 9,797.82, 14,707.26 and 3,958.26 is: 5,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.82 : 14,707.26 = 3,958.26 : x
  2. Step 2: Convert to fraction form
    9,797.82/14,707.26 = 3,958.26/x
  3. Step 3: Cross multiply
    9,797.82x = 14,707.26 × 3,958.26
  4. Step 4: Simplify right side
    9,797.82x = 58,215,158.97
  5. Step 5: Solve for x
    x = 58,215,158.97/9,797.82
  6. Step 6: Final answer
    x = 5,941.64

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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.