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Finding the Fourth Proportional to 6,002.94, 9,002.97 and 1,898.94

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Solution

The fourth proportional to 6,002.94, 9,002.97 and 1,898.94 is: 2,847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.94 : 9,002.97 = 1,898.94 : x
  2. Step 2: Convert to fraction form
    6,002.94/9,002.97 = 1,898.94/x
  3. Step 3: Cross multiply
    6,002.94x = 9,002.97 × 1,898.94
  4. Step 4: Simplify right side
    6,002.94x = 17,096,099.85
  5. Step 5: Solve for x
    x = 17,096,099.85/6,002.94
  6. Step 6: Final answer
    x = 2,847.95

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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.