Home / 6,498-9,746.82-2,116.44

Finding the Fourth Proportional to 6,498, 9,746.82 and 2,116.44

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Solution

The fourth proportional to 6,498, 9,746.82 and 2,116.44 is: 3,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498 : 9,746.82 = 2,116.44 : x
  2. Step 2: Convert to fraction form
    6,498/9,746.82 = 2,116.44/x
  3. Step 3: Cross multiply
    6,498x = 9,746.82 × 2,116.44
  4. Step 4: Simplify right side
    6,498x = 20,628,559.72
  5. Step 5: Solve for x
    x = 20,628,559.72/6,498
  6. Step 6: Final answer
    x = 3,174.60

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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.