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Finding the Fourth Proportional to 7,756, 10,704.84 and 4,444

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Solution

The fourth proportional to 7,756, 10,704.84 and 4,444 is: 6,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756 : 10,704.84 = 4,444 : x
  2. Step 2: Convert to fraction form
    7,756/10,704.84 = 4,444/x
  3. Step 3: Cross multiply
    7,756x = 10,704.84 × 4,444
  4. Step 4: Simplify right side
    7,756x = 47,572,308.96
  5. Step 5: Solve for x
    x = 47,572,308.96/7,756
  6. Step 6: Final answer
    x = 6,133.61

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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.