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Finding the Fourth Proportional to 6,958, 10,435.42 and 2,026.56

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Solution

The fourth proportional to 6,958, 10,435.42 and 2,026.56 is: 3,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958 : 10,435.42 = 2,026.56 : x
  2. Step 2: Convert to fraction form
    6,958/10,435.42 = 2,026.56/x
  3. Step 3: Cross multiply
    6,958x = 10,435.42 × 2,026.56
  4. Step 4: Simplify right side
    6,958x = 21,148,004.76
  5. Step 5: Solve for x
    x = 21,148,004.76/6,958
  6. Step 6: Final answer
    x = 3,039.38

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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.