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Finding the Fourth Proportional to 8,065.14, 12,079.26 and 6,829.44

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Solution

The fourth proportional to 8,065.14, 12,079.26 and 6,829.44 is: 10,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.14 : 12,079.26 = 6,829.44 : x
  2. Step 2: Convert to fraction form
    8,065.14/12,079.26 = 6,829.44/x
  3. Step 3: Cross multiply
    8,065.14x = 12,079.26 × 6,829.44
  4. Step 4: Simplify right side
    8,065.14x = 82,494,581.41
  5. Step 5: Solve for x
    x = 82,494,581.41/8,065.14
  6. Step 6: Final answer
    x = 10,228.54

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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.