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Finding the Fourth Proportional to 9,853.88, 14,780.94 and 2,834.12

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Solution

The fourth proportional to 9,853.88, 14,780.94 and 2,834.12 is: 4,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.88 : 14,780.94 = 2,834.12 : x
  2. Step 2: Convert to fraction form
    9,853.88/14,780.94 = 2,834.12/x
  3. Step 3: Cross multiply
    9,853.88x = 14,780.94 × 2,834.12
  4. Step 4: Simplify right side
    9,853.88x = 41,890,957.67
  5. Step 5: Solve for x
    x = 41,890,957.67/9,853.88
  6. Step 6: Final answer
    x = 4,251.21

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Similar ratio
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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.