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Finding the Fourth Proportional to 6,677.72, 10,006.84 and 3,756.84

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Solution

The fourth proportional to 6,677.72, 10,006.84 and 3,756.84 is: 5,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.72 : 10,006.84 = 3,756.84 : x
  2. Step 2: Convert to fraction form
    6,677.72/10,006.84 = 3,756.84/x
  3. Step 3: Cross multiply
    6,677.72x = 10,006.84 × 3,756.84
  4. Step 4: Simplify right side
    6,677.72x = 37,594,096.79
  5. Step 5: Solve for x
    x = 37,594,096.79/6,677.72
  6. Step 6: Final answer
    x = 5,629.78

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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.