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Finding the Fourth Proportional to 16,584.85, 24,882.74 and 6,058.09

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Solution

The fourth proportional to 16,584.85, 24,882.74 and 6,058.09 is: 9,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.85 : 24,882.74 = 6,058.09 : x
  2. Step 2: Convert to fraction form
    16,584.85/24,882.74 = 6,058.09/x
  3. Step 3: Cross multiply
    16,584.85x = 24,882.74 × 6,058.09
  4. Step 4: Simplify right side
    16,584.85x = 150,741,935.97
  5. Step 5: Solve for x
    x = 150,741,935.97/16,584.85
  6. Step 6: Final answer
    x = 9,089.13

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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.