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Finding the Fourth Proportional to 13,891.39, 19,169.92 and 7,923.16

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Solution

The fourth proportional to 13,891.39, 19,169.92 and 7,923.16 is: 10,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.39 : 19,169.92 = 7,923.16 : x
  2. Step 2: Convert to fraction form
    13,891.39/19,169.92 = 7,923.16/x
  3. Step 3: Cross multiply
    13,891.39x = 19,169.92 × 7,923.16
  4. Step 4: Simplify right side
    13,891.39x = 151,886,247.50
  5. Step 5: Solve for x
    x = 151,886,247.50/13,891.39
  6. Step 6: Final answer
    x = 10,933.84

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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.