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Finding the Fourth Proportional to 6,493.88, 9,741.36 and 2,111.24

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Solution

The fourth proportional to 6,493.88, 9,741.36 and 2,111.24 is: 3,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.88 : 9,741.36 = 2,111.24 : x
  2. Step 2: Convert to fraction form
    6,493.88/9,741.36 = 2,111.24/x
  3. Step 3: Cross multiply
    6,493.88x = 9,741.36 × 2,111.24
  4. Step 4: Simplify right side
    6,493.88x = 20,566,348.89
  5. Step 5: Solve for x
    x = 20,566,348.89/6,493.88
  6. Step 6: Final answer
    x = 3,167.04

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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.