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Finding the Fourth Proportional to 6,142, 9,214.44 and 2,038

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Solution

The fourth proportional to 6,142, 9,214.44 and 2,038 is: 3,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142 : 9,214.44 = 2,038 : x
  2. Step 2: Convert to fraction form
    6,142/9,214.44 = 2,038/x
  3. Step 3: Cross multiply
    6,142x = 9,214.44 × 2,038
  4. Step 4: Simplify right side
    6,142x = 18,779,028.72
  5. Step 5: Solve for x
    x = 18,779,028.72/6,142
  6. Step 6: Final answer
    x = 3,057.48

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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.