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Finding the Fourth Proportional to 8,509.26, 12,763.86 and 3,514.44

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Solution

The fourth proportional to 8,509.26, 12,763.86 and 3,514.44 is: 5,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.26 : 12,763.86 = 3,514.44 : x
  2. Step 2: Convert to fraction form
    8,509.26/12,763.86 = 3,514.44/x
  3. Step 3: Cross multiply
    8,509.26x = 12,763.86 × 3,514.44
  4. Step 4: Simplify right side
    8,509.26x = 44,857,820.14
  5. Step 5: Solve for x
    x = 44,857,820.14/8,509.26
  6. Step 6: Final answer
    x = 5,271.65

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1.5x scale

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.