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Finding the Fourth Proportional to 6,722.56, 10,072.62 and 4,744.94

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Solution

The fourth proportional to 6,722.56, 10,072.62 and 4,744.94 is: 7,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.56 : 10,072.62 = 4,744.94 : x
  2. Step 2: Convert to fraction form
    6,722.56/10,072.62 = 4,744.94/x
  3. Step 3: Cross multiply
    6,722.56x = 10,072.62 × 4,744.94
  4. Step 4: Simplify right side
    6,722.56x = 47,793,983.84
  5. Step 5: Solve for x
    x = 47,793,983.84/6,722.56
  6. Step 6: Final answer
    x = 7,109.50

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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.