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Finding the Fourth Proportional to 16,537.17, 24,808.49 and 7,661.37

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Solution

The fourth proportional to 16,537.17, 24,808.49 and 7,661.37 is: 11,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.17 : 24,808.49 = 7,661.37 : x
  2. Step 2: Convert to fraction form
    16,537.17/24,808.49 = 7,661.37/x
  3. Step 3: Cross multiply
    16,537.17x = 24,808.49 × 7,661.37
  4. Step 4: Simplify right side
    16,537.17x = 190,067,021.03
  5. Step 5: Solve for x
    x = 190,067,021.03/16,537.17
  6. Step 6: Final answer
    x = 11,493.32

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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.