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Finding the Fourth Proportional to 10,170.94, 14,046.88 and 6,992.64

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Solution

The fourth proportional to 10,170.94, 14,046.88 and 6,992.64 is: 9,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.94 : 14,046.88 = 6,992.64 : x
  2. Step 2: Convert to fraction form
    10,170.94/14,046.88 = 6,992.64/x
  3. Step 3: Cross multiply
    10,170.94x = 14,046.88 × 6,992.64
  4. Step 4: Simplify right side
    10,170.94x = 98,224,774.96
  5. Step 5: Solve for x
    x = 98,224,774.96/10,170.94
  6. Step 6: Final answer
    x = 9,657.39

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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.