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Finding the Fourth Proportional to 14,668.70, 20,242.72 and 7,954.26

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Solution

The fourth proportional to 14,668.70, 20,242.72 and 7,954.26 is: 10,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668.70 : 20,242.72 = 7,954.26 : x
  2. Step 2: Convert to fraction form
    14,668.70/20,242.72 = 7,954.26/x
  3. Step 3: Cross multiply
    14,668.70x = 20,242.72 × 7,954.26
  4. Step 4: Simplify right side
    14,668.70x = 161,015,857.99
  5. Step 5: Solve for x
    x = 161,015,857.99/14,668.70
  6. Step 6: Final answer
    x = 10,976.83

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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.