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Finding the Fourth Proportional to 11,779.62, 16,255.82 and 6,743.82

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Solution

The fourth proportional to 11,779.62, 16,255.82 and 6,743.82 is: 9,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.62 : 16,255.82 = 6,743.82 : x
  2. Step 2: Convert to fraction form
    11,779.62/16,255.82 = 6,743.82/x
  3. Step 3: Cross multiply
    11,779.62x = 16,255.82 × 6,743.82
  4. Step 4: Simplify right side
    11,779.62x = 109,626,290.31
  5. Step 5: Solve for x
    x = 109,626,290.31/11,779.62
  6. Step 6: Final answer
    x = 9,306.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.