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Finding the Fourth Proportional to 8,309.02, 12,463.56 and 2,069.02

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Solution

The fourth proportional to 8,309.02, 12,463.56 and 2,069.02 is: 3,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.02 : 12,463.56 = 2,069.02 : x
  2. Step 2: Convert to fraction form
    8,309.02/12,463.56 = 2,069.02/x
  3. Step 3: Cross multiply
    8,309.02x = 12,463.56 × 2,069.02
  4. Step 4: Simplify right side
    8,309.02x = 25,787,354.91
  5. Step 5: Solve for x
    x = 25,787,354.91/8,309.02
  6. Step 6: Final answer
    x = 3,103.54

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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.