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Finding the Fourth Proportional to 10,922.80, 16,384.20 and 2,714.80

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Solution

The fourth proportional to 10,922.80, 16,384.20 and 2,714.80 is: 4,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.80 : 16,384.20 = 2,714.80 : x
  2. Step 2: Convert to fraction form
    10,922.80/16,384.20 = 2,714.80/x
  3. Step 3: Cross multiply
    10,922.80x = 16,384.20 × 2,714.80
  4. Step 4: Simplify right side
    10,922.80x = 44,479,826.16
  5. Step 5: Solve for x
    x = 44,479,826.16/10,922.80
  6. Step 6: Final answer
    x = 4,072.20

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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.