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Finding the Fourth Proportional to 8,193.76, 12,295.68 and 5,273.92

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Solution

The fourth proportional to 8,193.76, 12,295.68 and 5,273.92 is: 7,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.76 : 12,295.68 = 5,273.92 : x
  2. Step 2: Convert to fraction form
    8,193.76/12,295.68 = 5,273.92/x
  3. Step 3: Cross multiply
    8,193.76x = 12,295.68 × 5,273.92
  4. Step 4: Simplify right side
    8,193.76x = 64,846,432.67
  5. Step 5: Solve for x
    x = 64,846,432.67/8,193.76
  6. Step 6: Final answer
    x = 7,914.12

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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.