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Finding the Fourth Proportional to 12,163, 16,784.96 and 6,574

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Solution

The fourth proportional to 12,163, 16,784.96 and 6,574 is: 9,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163 : 16,784.96 = 6,574 : x
  2. Step 2: Convert to fraction form
    12,163/16,784.96 = 6,574/x
  3. Step 3: Cross multiply
    12,163x = 16,784.96 × 6,574
  4. Step 4: Simplify right side
    12,163x = 110,344,327.04
  5. Step 5: Solve for x
    x = 110,344,327.04/12,163
  6. Step 6: Final answer
    x = 9,072.13

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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.