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Finding the Fourth Proportional to 7,125.70, 10,688.52 and 2,194

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Solution

The fourth proportional to 7,125.70, 10,688.52 and 2,194 is: 3,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.70 : 10,688.52 = 2,194 : x
  2. Step 2: Convert to fraction form
    7,125.70/10,688.52 = 2,194/x
  3. Step 3: Cross multiply
    7,125.70x = 10,688.52 × 2,194
  4. Step 4: Simplify right side
    7,125.70x = 23,450,612.88
  5. Step 5: Solve for x
    x = 23,450,612.88/7,125.70
  6. Step 6: Final answer
    x = 3,290.99

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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.