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Finding the Fourth Proportional to 7,093.58, 10,633.42 and 2,648

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Solution

The fourth proportional to 7,093.58, 10,633.42 and 2,648 is: 3,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.58 : 10,633.42 = 2,648 : x
  2. Step 2: Convert to fraction form
    7,093.58/10,633.42 = 2,648/x
  3. Step 3: Cross multiply
    7,093.58x = 10,633.42 × 2,648
  4. Step 4: Simplify right side
    7,093.58x = 28,157,296.16
  5. Step 5: Solve for x
    x = 28,157,296.16/7,093.58
  6. Step 6: Final answer
    x = 3,969.41

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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.