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Finding the Fourth Proportional to 6,958.52, 10,437.24 and 2,028.20

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Solution

The fourth proportional to 6,958.52, 10,437.24 and 2,028.20 is: 3,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.52 : 10,437.24 = 2,028.20 : x
  2. Step 2: Convert to fraction form
    6,958.52/10,437.24 = 2,028.20/x
  3. Step 3: Cross multiply
    6,958.52x = 10,437.24 × 2,028.20
  4. Step 4: Simplify right side
    6,958.52x = 21,168,810.17
  5. Step 5: Solve for x
    x = 21,168,810.17/6,958.52
  6. Step 6: Final answer
    x = 3,042.14

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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.