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Finding the Fourth Proportional to 8,000.10, 11,034.20 and 5,874.98

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Solution

The fourth proportional to 8,000.10, 11,034.20 and 5,874.98 is: 8,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.10 : 11,034.20 = 5,874.98 : x
  2. Step 2: Convert to fraction form
    8,000.10/11,034.20 = 5,874.98/x
  3. Step 3: Cross multiply
    8,000.10x = 11,034.20 × 5,874.98
  4. Step 4: Simplify right side
    8,000.10x = 64,825,704.32
  5. Step 5: Solve for x
    x = 64,825,704.32/8,000.10
  6. Step 6: Final answer
    x = 8,103.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.