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Finding the Fourth Proportional to 6,144.20, 9,213.06 and 2,445.20

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Solution

The fourth proportional to 6,144.20, 9,213.06 and 2,445.20 is: 3,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.20 : 9,213.06 = 2,445.20 : x
  2. Step 2: Convert to fraction form
    6,144.20/9,213.06 = 2,445.20/x
  3. Step 3: Cross multiply
    6,144.20x = 9,213.06 × 2,445.20
  4. Step 4: Simplify right side
    6,144.20x = 22,527,774.31
  5. Step 5: Solve for x
    x = 22,527,774.31/6,144.20
  6. Step 6: Final answer
    x = 3,666.51

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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.