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Finding the Fourth Proportional to 16,004.94, 23,991 and 6,141.57

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Solution

The fourth proportional to 16,004.94, 23,991 and 6,141.57 is: 9,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.94 : 23,991 = 6,141.57 : x
  2. Step 2: Convert to fraction form
    16,004.94/23,991 = 6,141.57/x
  3. Step 3: Cross multiply
    16,004.94x = 23,991 × 6,141.57
  4. Step 4: Simplify right side
    16,004.94x = 147,342,405.87
  5. Step 5: Solve for x
    x = 147,342,405.87/16,004.94
  6. Step 6: Final answer
    x = 9,206.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.