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Finding the Fourth Proportional to 6,026, 9,039.16 and 1,922

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Solution

The fourth proportional to 6,026, 9,039.16 and 1,922 is: 2,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026 : 9,039.16 = 1,922 : x
  2. Step 2: Convert to fraction form
    6,026/9,039.16 = 1,922/x
  3. Step 3: Cross multiply
    6,026x = 9,039.16 × 1,922
  4. Step 4: Simplify right side
    6,026x = 17,373,265.52
  5. Step 5: Solve for x
    x = 17,373,265.52/6,026
  6. Step 6: Final answer
    x = 2,883.05

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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.