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Finding the Fourth Proportional to 8,222.94, 12,328.24 and 2,672.98

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Solution

The fourth proportional to 8,222.94, 12,328.24 and 2,672.98 is: 4,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.94 : 12,328.24 = 2,672.98 : x
  2. Step 2: Convert to fraction form
    8,222.94/12,328.24 = 2,672.98/x
  3. Step 3: Cross multiply
    8,222.94x = 12,328.24 × 2,672.98
  4. Step 4: Simplify right side
    8,222.94x = 32,953,138.96
  5. Step 5: Solve for x
    x = 32,953,138.96/8,222.94
  6. Step 6: Final answer
    x = 4,007.46

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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.