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Finding the Fourth Proportional to 8,182.48, 12,273.64 and 5,408.48

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Solution

The fourth proportional to 8,182.48, 12,273.64 and 5,408.48 is: 8,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.48 : 12,273.64 = 5,408.48 : x
  2. Step 2: Convert to fraction form
    8,182.48/12,273.64 = 5,408.48/x
  3. Step 3: Cross multiply
    8,182.48x = 12,273.64 × 5,408.48
  4. Step 4: Simplify right side
    8,182.48x = 66,381,736.47
  5. Step 5: Solve for x
    x = 66,381,736.47/8,182.48
  6. Step 6: Final answer
    x = 8,112.67

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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.