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Finding the Fourth Proportional to 8,129, 12,193.53 and 1,973

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Solution

The fourth proportional to 8,129, 12,193.53 and 1,973 is: 2,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129 : 12,193.53 = 1,973 : x
  2. Step 2: Convert to fraction form
    8,129/12,193.53 = 1,973/x
  3. Step 3: Cross multiply
    8,129x = 12,193.53 × 1,973
  4. Step 4: Simplify right side
    8,129x = 24,057,834.69
  5. Step 5: Solve for x
    x = 24,057,834.69/8,129
  6. Step 6: Final answer
    x = 2,959.51

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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.