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Finding the Fourth Proportional to 7,094.34, 10,641.50 and 2,163.98

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Solution

The fourth proportional to 7,094.34, 10,641.50 and 2,163.98 is: 3,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.34 : 10,641.50 = 2,163.98 : x
  2. Step 2: Convert to fraction form
    7,094.34/10,641.50 = 2,163.98/x
  3. Step 3: Cross multiply
    7,094.34x = 10,641.50 × 2,163.98
  4. Step 4: Simplify right side
    7,094.34x = 23,027,929.14
  5. Step 5: Solve for x
    x = 23,027,929.14/7,094.34
  6. Step 6: Final answer
    x = 3,245.96

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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.