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Finding the Fourth Proportional to 6,958.85, 9,604.58 and 3,974.40

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Solution

The fourth proportional to 6,958.85, 9,604.58 and 3,974.40 is: 5,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.85 : 9,604.58 = 3,974.40 : x
  2. Step 2: Convert to fraction form
    6,958.85/9,604.58 = 3,974.40/x
  3. Step 3: Cross multiply
    6,958.85x = 9,604.58 × 3,974.40
  4. Step 4: Simplify right side
    6,958.85x = 38,172,422.88
  5. Step 5: Solve for x
    x = 38,172,422.88/6,958.85
  6. Step 6: Final answer
    x = 5,485.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.