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Finding the Fourth Proportional to 11,616.87, 16,022.96 and 10,662.87

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Solution

The fourth proportional to 11,616.87, 16,022.96 and 10,662.87 is: 14,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.87 : 16,022.96 = 10,662.87 : x
  2. Step 2: Convert to fraction form
    11,616.87/16,022.96 = 10,662.87/x
  3. Step 3: Cross multiply
    11,616.87x = 16,022.96 × 10,662.87
  4. Step 4: Simplify right side
    11,616.87x = 170,850,711.04
  5. Step 5: Solve for x
    x = 170,850,711.04/11,616.87
  6. Step 6: Final answer
    x = 14,707.12

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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.