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Finding the Fourth Proportional to 10,662.21, 14,713.97 and 5,946.57

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Solution

The fourth proportional to 10,662.21, 14,713.97 and 5,946.57 is: 8,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.21 : 14,713.97 = 5,946.57 : x
  2. Step 2: Convert to fraction form
    10,662.21/14,713.97 = 5,946.57/x
  3. Step 3: Cross multiply
    10,662.21x = 14,713.97 × 5,946.57
  4. Step 4: Simplify right side
    10,662.21x = 87,497,622.85
  5. Step 5: Solve for x
    x = 87,497,622.85/10,662.21
  6. Step 6: Final answer
    x = 8,206.33

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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.