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Finding the Fourth Proportional to 6,127.84, 9,192.30 and 1,968.22

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Solution

The fourth proportional to 6,127.84, 9,192.30 and 1,968.22 is: 2,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.84 : 9,192.30 = 1,968.22 : x
  2. Step 2: Convert to fraction form
    6,127.84/9,192.30 = 1,968.22/x
  3. Step 3: Cross multiply
    6,127.84x = 9,192.30 × 1,968.22
  4. Step 4: Simplify right side
    6,127.84x = 18,092,468.71
  5. Step 5: Solve for x
    x = 18,092,468.71/6,127.84
  6. Step 6: Final answer
    x = 2,952.50

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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.