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Finding the Fourth Proportional to 12,342.05, 18,504.87 and 6,798

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Solution

The fourth proportional to 12,342.05, 18,504.87 and 6,798 is: 10,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.05 : 18,504.87 = 6,798 : x
  2. Step 2: Convert to fraction form
    12,342.05/18,504.87 = 6,798/x
  3. Step 3: Cross multiply
    12,342.05x = 18,504.87 × 6,798
  4. Step 4: Simplify right side
    12,342.05x = 125,796,106.26
  5. Step 5: Solve for x
    x = 125,796,106.26/12,342.05
  6. Step 6: Final answer
    x = 10,192.48

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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.