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Finding the Fourth Proportional to 6,666.94, 10,000.41 and 2,049.94

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Solution

The fourth proportional to 6,666.94, 10,000.41 and 2,049.94 is: 3,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.94 : 10,000.41 = 2,049.94 : x
  2. Step 2: Convert to fraction form
    6,666.94/10,000.41 = 2,049.94/x
  3. Step 3: Cross multiply
    6,666.94x = 10,000.41 × 2,049.94
  4. Step 4: Simplify right side
    6,666.94x = 20,500,215.47
  5. Step 5: Solve for x
    x = 20,500,215.47/6,666.94
  6. Step 6: Final answer
    x = 3,074.91

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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.