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Finding the Fourth Proportional to 8,597.26, 12,895.84 and 4,149.74

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Solution

The fourth proportional to 8,597.26, 12,895.84 and 4,149.74 is: 6,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.26 : 12,895.84 = 4,149.74 : x
  2. Step 2: Convert to fraction form
    8,597.26/12,895.84 = 4,149.74/x
  3. Step 3: Cross multiply
    8,597.26x = 12,895.84 × 4,149.74
  4. Step 4: Simplify right side
    8,597.26x = 53,514,348.28
  5. Step 5: Solve for x
    x = 53,514,348.28/8,597.26
  6. Step 6: Final answer
    x = 6,224.58

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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.