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Finding the Fourth Proportional to 6,354.34, 9,528.42 and 2,194.58

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Solution

The fourth proportional to 6,354.34, 9,528.42 and 2,194.58 is: 3,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.34 : 9,528.42 = 2,194.58 : x
  2. Step 2: Convert to fraction form
    6,354.34/9,528.42 = 2,194.58/x
  3. Step 3: Cross multiply
    6,354.34x = 9,528.42 × 2,194.58
  4. Step 4: Simplify right side
    6,354.34x = 20,910,879.96
  5. Step 5: Solve for x
    x = 20,910,879.96/6,354.34
  6. Step 6: Final answer
    x = 3,290.80

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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.