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Finding the Fourth Proportional to 12,834.36, 17,711.76 and 7,168.86

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Solution

The fourth proportional to 12,834.36, 17,711.76 and 7,168.86 is: 9,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.36 : 17,711.76 = 7,168.86 : x
  2. Step 2: Convert to fraction form
    12,834.36/17,711.76 = 7,168.86/x
  3. Step 3: Cross multiply
    12,834.36x = 17,711.76 × 7,168.86
  4. Step 4: Simplify right side
    12,834.36x = 126,973,127.79
  5. Step 5: Solve for x
    x = 126,973,127.79/12,834.36
  6. Step 6: Final answer
    x = 9,893.22

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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.