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Finding the Fourth Proportional to 14,660.60, 20,231.52 and 7,946.24

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Solution

The fourth proportional to 14,660.60, 20,231.52 and 7,946.24 is: 10,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660.60 : 20,231.52 = 7,946.24 : x
  2. Step 2: Convert to fraction form
    14,660.60/20,231.52 = 7,946.24/x
  3. Step 3: Cross multiply
    14,660.60x = 20,231.52 × 7,946.24
  4. Step 4: Simplify right side
    14,660.60x = 160,764,513.48
  5. Step 5: Solve for x
    x = 160,764,513.48/14,660.60
  6. Step 6: Final answer
    x = 10,965.75

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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.