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Finding the Fourth Proportional to 6,678.64, 10,018.92 and 2,062

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Solution

The fourth proportional to 6,678.64, 10,018.92 and 2,062 is: 3,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.64 : 10,018.92 = 2,062 : x
  2. Step 2: Convert to fraction form
    6,678.64/10,018.92 = 2,062/x
  3. Step 3: Cross multiply
    6,678.64x = 10,018.92 × 2,062
  4. Step 4: Simplify right side
    6,678.64x = 20,659,013.04
  5. Step 5: Solve for x
    x = 20,659,013.04/6,678.64
  6. Step 6: Final answer
    x = 3,093.30

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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.