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Finding the Fourth Proportional to 6,958.50, 10,437.95 and 2,028.03

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Solution

The fourth proportional to 6,958.50, 10,437.95 and 2,028.03 is: 3,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.50 : 10,437.95 = 2,028.03 : x
  2. Step 2: Convert to fraction form
    6,958.50/10,437.95 = 2,028.03/x
  3. Step 3: Cross multiply
    6,958.50x = 10,437.95 × 2,028.03
  4. Step 4: Simplify right side
    6,958.50x = 21,168,475.74
  5. Step 5: Solve for x
    x = 21,168,475.74/6,958.50
  6. Step 6: Final answer
    x = 3,042.10

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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.