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Finding the Fourth Proportional to 10,797.92, 14,901 and 6,083

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Solution

The fourth proportional to 10,797.92, 14,901 and 6,083 is: 8,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.92 : 14,901 = 6,083 : x
  2. Step 2: Convert to fraction form
    10,797.92/14,901 = 6,083/x
  3. Step 3: Cross multiply
    10,797.92x = 14,901 × 6,083
  4. Step 4: Simplify right side
    10,797.92x = 90,642,783
  5. Step 5: Solve for x
    x = 90,642,783/10,797.92
  6. Step 6: Final answer
    x = 8,394.47

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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.