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Finding the Fourth Proportional to 17,755.84, 24,512.88 and 10,684

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Solution

The fourth proportional to 17,755.84, 24,512.88 and 10,684 is: 14,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755.84 : 24,512.88 = 10,684 : x
  2. Step 2: Convert to fraction form
    17,755.84/24,512.88 = 10,684/x
  3. Step 3: Cross multiply
    17,755.84x = 24,512.88 × 10,684
  4. Step 4: Simplify right side
    17,755.84x = 261,895,609.92
  5. Step 5: Solve for x
    x = 261,895,609.92/17,755.84
  6. Step 6: Final answer
    x = 14,749.83

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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.