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Finding the Fourth Proportional to 6,141.88, 9,212.80 and 2,853.16

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Solution

The fourth proportional to 6,141.88, 9,212.80 and 2,853.16 is: 4,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.88 : 9,212.80 = 2,853.16 : x
  2. Step 2: Convert to fraction form
    6,141.88/9,212.80 = 2,853.16/x
  3. Step 3: Cross multiply
    6,141.88x = 9,212.80 × 2,853.16
  4. Step 4: Simplify right side
    6,141.88x = 26,285,592.45
  5. Step 5: Solve for x
    x = 26,285,592.45/6,141.88
  6. Step 6: Final answer
    x = 4,279.73

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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.