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Finding the Fourth Proportional to 13,161.94, 18,163.86 and 7,193.86

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Solution

The fourth proportional to 13,161.94, 18,163.86 and 7,193.86 is: 9,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.94 : 18,163.86 = 7,193.86 : x
  2. Step 2: Convert to fraction form
    13,161.94/18,163.86 = 7,193.86/x
  3. Step 3: Cross multiply
    13,161.94x = 18,163.86 × 7,193.86
  4. Step 4: Simplify right side
    13,161.94x = 130,668,265.90
  5. Step 5: Solve for x
    x = 130,668,265.90/13,161.94
  6. Step 6: Final answer
    x = 9,927.74

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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.