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Finding the Fourth Proportional to 23,296.44, 34,944.93 and 7,714.20

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Solution

The fourth proportional to 23,296.44, 34,944.93 and 7,714.20 is: 11,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.44 : 34,944.93 = 7,714.20 : x
  2. Step 2: Convert to fraction form
    23,296.44/34,944.93 = 7,714.20/x
  3. Step 3: Cross multiply
    23,296.44x = 34,944.93 × 7,714.20
  4. Step 4: Simplify right side
    23,296.44x = 269,572,179.01
  5. Step 5: Solve for x
    x = 269,572,179.01/23,296.44
  6. Step 6: Final answer
    x = 11,571.39

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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.