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Finding the Fourth Proportional to 8,193.34, 12,289.74 and 4,497.31

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Solution

The fourth proportional to 8,193.34, 12,289.74 and 4,497.31 is: 6,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.34 : 12,289.74 = 4,497.31 : x
  2. Step 2: Convert to fraction form
    8,193.34/12,289.74 = 4,497.31/x
  3. Step 3: Cross multiply
    8,193.34x = 12,289.74 × 4,497.31
  4. Step 4: Simplify right side
    8,193.34x = 55,270,770.60
  5. Step 5: Solve for x
    x = 55,270,770.60/8,193.34
  6. Step 6: Final answer
    x = 6,745.82

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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.