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Finding the Fourth Proportional to 6,455.80, 9,682 and 1,774.70

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Solution

The fourth proportional to 6,455.80, 9,682 and 1,774.70 is: 2,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.80 : 9,682 = 1,774.70 : x
  2. Step 2: Convert to fraction form
    6,455.80/9,682 = 1,774.70/x
  3. Step 3: Cross multiply
    6,455.80x = 9,682 × 1,774.70
  4. Step 4: Simplify right side
    6,455.80x = 17,182,645.40
  5. Step 5: Solve for x
    x = 17,182,645.40/6,455.80
  6. Step 6: Final answer
    x = 2,661.58

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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.