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Finding the Fourth Proportional to 9,857.88, 14,786.82 and 5,751

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Solution

The fourth proportional to 9,857.88, 14,786.82 and 5,751 is: 8,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.88 : 14,786.82 = 5,751 : x
  2. Step 2: Convert to fraction form
    9,857.88/14,786.82 = 5,751/x
  3. Step 3: Cross multiply
    9,857.88x = 14,786.82 × 5,751
  4. Step 4: Simplify right side
    9,857.88x = 85,039,001.82
  5. Step 5: Solve for x
    x = 85,039,001.82/9,857.88
  6. Step 6: Final answer
    x = 8,626.50

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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.