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Finding the Fourth Proportional to 10,794.94, 14,896.79 and 6,014.86

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Solution

The fourth proportional to 10,794.94, 14,896.79 and 6,014.86 is: 8,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.94 : 14,896.79 = 6,014.86 : x
  2. Step 2: Convert to fraction form
    10,794.94/14,896.79 = 6,014.86/x
  3. Step 3: Cross multiply
    10,794.94x = 14,896.79 × 6,014.86
  4. Step 4: Simplify right side
    10,794.94x = 89,602,176.95
  5. Step 5: Solve for x
    x = 89,602,176.95/10,794.94
  6. Step 6: Final answer
    x = 8,300.39

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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.