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Finding the Fourth Proportional to 6,396, 9,594 and 1,779

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Solution

The fourth proportional to 6,396, 9,594 and 1,779 is: 2,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396 : 9,594 = 1,779 : x
  2. Step 2: Convert to fraction form
    6,396/9,594 = 1,779/x
  3. Step 3: Cross multiply
    6,396x = 9,594 × 1,779
  4. Step 4: Simplify right side
    6,396x = 17,067,726
  5. Step 5: Solve for x
    x = 17,067,726/6,396
  6. Step 6: Final answer
    x = 2,668.50

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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.