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Finding the Fourth Proportional to 5,960.74, 8,942.58 and 4,209.17

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Solution

The fourth proportional to 5,960.74, 8,942.58 and 4,209.17 is: 6,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.74 : 8,942.58 = 4,209.17 : x
  2. Step 2: Convert to fraction form
    5,960.74/8,942.58 = 4,209.17/x
  3. Step 3: Cross multiply
    5,960.74x = 8,942.58 × 4,209.17
  4. Step 4: Simplify right side
    5,960.74x = 37,640,839.46
  5. Step 5: Solve for x
    x = 37,640,839.46/5,960.74
  6. Step 6: Final answer
    x = 6,314.79

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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.