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Finding the Fourth Proportional to 6,354.63, 9,536.34 and 2,194.67

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Solution

The fourth proportional to 6,354.63, 9,536.34 and 2,194.67 is: 3,293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.63 : 9,536.34 = 2,194.67 : x
  2. Step 2: Convert to fraction form
    6,354.63/9,536.34 = 2,194.67/x
  3. Step 3: Cross multiply
    6,354.63x = 9,536.34 × 2,194.67
  4. Step 4: Simplify right side
    6,354.63x = 20,929,165.14
  5. Step 5: Solve for x
    x = 20,929,165.14/6,354.63
  6. Step 6: Final answer
    x = 3,293.53

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1.5x scale

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.