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Finding the Fourth Proportional to 6,498, 9,744.14 and 2,054.56

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Solution

The fourth proportional to 6,498, 9,744.14 and 2,054.56 is: 3,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498 : 9,744.14 = 2,054.56 : x
  2. Step 2: Convert to fraction form
    6,498/9,744.14 = 2,054.56/x
  3. Step 3: Cross multiply
    6,498x = 9,744.14 × 2,054.56
  4. Step 4: Simplify right side
    6,498x = 20,019,920.28
  5. Step 5: Solve for x
    x = 20,019,920.28/6,498
  6. Step 6: Final answer
    x = 3,080.94

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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.