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Finding the Fourth Proportional to 17,786.84, 26,674.52 and 9,893.12

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Solution

The fourth proportional to 17,786.84, 26,674.52 and 9,893.12 is: 14,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.84 : 26,674.52 = 9,893.12 : x
  2. Step 2: Convert to fraction form
    17,786.84/26,674.52 = 9,893.12/x
  3. Step 3: Cross multiply
    17,786.84x = 26,674.52 × 9,893.12
  4. Step 4: Simplify right side
    17,786.84x = 263,894,118.66
  5. Step 5: Solve for x
    x = 263,894,118.66/17,786.84
  6. Step 6: Final answer
    x = 14,836.49

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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.