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Finding the Fourth Proportional to 11,744.16, 16,206.99 and 7,028.44

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Solution

The fourth proportional to 11,744.16, 16,206.99 and 7,028.44 is: 9,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.16 : 16,206.99 = 7,028.44 : x
  2. Step 2: Convert to fraction form
    11,744.16/16,206.99 = 7,028.44/x
  3. Step 3: Cross multiply
    11,744.16x = 16,206.99 × 7,028.44
  4. Step 4: Simplify right side
    11,744.16x = 113,909,789.92
  5. Step 5: Solve for x
    x = 113,909,789.92/11,744.16
  6. Step 6: Final answer
    x = 9,699.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.