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Finding the Fourth Proportional to 6,002.81, 9,005.12 and 2,882.23

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Solution

The fourth proportional to 6,002.81, 9,005.12 and 2,882.23 is: 4,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.81 : 9,005.12 = 2,882.23 : x
  2. Step 2: Convert to fraction form
    6,002.81/9,005.12 = 2,882.23/x
  3. Step 3: Cross multiply
    6,002.81x = 9,005.12 × 2,882.23
  4. Step 4: Simplify right side
    6,002.81x = 25,954,800.90
  5. Step 5: Solve for x
    x = 25,954,800.90/6,002.81
  6. Step 6: Final answer
    x = 4,323.78

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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.