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Finding the Fourth Proportional to 23,296.98, 34,944.64 and 7,714.46

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Solution

The fourth proportional to 23,296.98, 34,944.64 and 7,714.46 is: 11,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.98 : 34,944.64 = 7,714.46 : x
  2. Step 2: Convert to fraction form
    23,296.98/34,944.64 = 7,714.46/x
  3. Step 3: Cross multiply
    23,296.98x = 34,944.64 × 7,714.46
  4. Step 4: Simplify right side
    23,296.98x = 269,579,027.49
  5. Step 5: Solve for x
    x = 269,579,027.49/23,296.98
  6. Step 6: Final answer
    x = 11,571.42

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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.