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Finding the Fourth Proportional to 12,162.69, 16,784.55 and 6,857.51

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Solution

The fourth proportional to 12,162.69, 16,784.55 and 6,857.51 is: 9,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.69 : 16,784.55 = 6,857.51 : x
  2. Step 2: Convert to fraction form
    12,162.69/16,784.55 = 6,857.51/x
  3. Step 3: Cross multiply
    12,162.69x = 16,784.55 × 6,857.51
  4. Step 4: Simplify right side
    12,162.69x = 115,100,135.55
  5. Step 5: Solve for x
    x = 115,100,135.55/12,162.69
  6. Step 6: Final answer
    x = 9,463.38

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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.