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Finding the Fourth Proportional to 17,714.58, 26,578.44 and 7,846.80

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Solution

The fourth proportional to 17,714.58, 26,578.44 and 7,846.80 is: 11,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.58 : 26,578.44 = 7,846.80 : x
  2. Step 2: Convert to fraction form
    17,714.58/26,578.44 = 7,846.80/x
  3. Step 3: Cross multiply
    17,714.58x = 26,578.44 × 7,846.80
  4. Step 4: Simplify right side
    17,714.58x = 208,555,702.99
  5. Step 5: Solve for x
    x = 208,555,702.99/17,714.58
  6. Step 6: Final answer
    x = 11,773.11

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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.