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Finding the Fourth Proportional to 6,763.56, 10,129.94 and 4,674.09

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Solution

The fourth proportional to 6,763.56, 10,129.94 and 4,674.09 is: 7,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.56 : 10,129.94 = 4,674.09 : x
  2. Step 2: Convert to fraction form
    6,763.56/10,129.94 = 4,674.09/x
  3. Step 3: Cross multiply
    6,763.56x = 10,129.94 × 4,674.09
  4. Step 4: Simplify right side
    6,763.56x = 47,348,251.25
  5. Step 5: Solve for x
    x = 47,348,251.25/6,763.56
  6. Step 6: Final answer
    x = 7,000.49

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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.