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Finding the Fourth Proportional to 10,922.80, 16,384.20 and 8,006.80

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Solution

The fourth proportional to 10,922.80, 16,384.20 and 8,006.80 is: 12,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.80 : 16,384.20 = 8,006.80 : x
  2. Step 2: Convert to fraction form
    10,922.80/16,384.20 = 8,006.80/x
  3. Step 3: Cross multiply
    10,922.80x = 16,384.20 × 8,006.80
  4. Step 4: Simplify right side
    10,922.80x = 131,185,012.56
  5. Step 5: Solve for x
    x = 131,185,012.56/10,922.80
  6. Step 6: Final answer
    x = 12,010.20

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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.