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Finding the Fourth Proportional to 11,993.71, 16,550.33 and 6,956.32

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Solution

The fourth proportional to 11,993.71, 16,550.33 and 6,956.32 is: 9,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.71 : 16,550.33 = 6,956.32 : x
  2. Step 2: Convert to fraction form
    11,993.71/16,550.33 = 6,956.32/x
  3. Step 3: Cross multiply
    11,993.71x = 16,550.33 × 6,956.32
  4. Step 4: Simplify right side
    11,993.71x = 115,129,274.05
  5. Step 5: Solve for x
    x = 115,129,274.05/11,993.71
  6. Step 6: Final answer
    x = 9,599.14

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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.