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Finding the Fourth Proportional to 10,495.94, 14,486.38 and 6,022.62

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Solution

The fourth proportional to 10,495.94, 14,486.38 and 6,022.62 is: 8,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.94 : 14,486.38 = 6,022.62 : x
  2. Step 2: Convert to fraction form
    10,495.94/14,486.38 = 6,022.62/x
  3. Step 3: Cross multiply
    10,495.94x = 14,486.38 × 6,022.62
  4. Step 4: Simplify right side
    10,495.94x = 87,245,961.92
  5. Step 5: Solve for x
    x = 87,245,961.92/10,495.94
  6. Step 6: Final answer
    x = 8,312.35

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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.