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Finding the Fourth Proportional to 10,198.71, 14,070.61 and 6,663.97

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Solution

The fourth proportional to 10,198.71, 14,070.61 and 6,663.97 is: 9,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.71 : 14,070.61 = 6,663.97 : x
  2. Step 2: Convert to fraction form
    10,198.71/14,070.61 = 6,663.97/x
  3. Step 3: Cross multiply
    10,198.71x = 14,070.61 × 6,663.97
  4. Step 4: Simplify right side
    10,198.71x = 93,766,148.84
  5. Step 5: Solve for x
    x = 93,766,148.84/10,198.71
  6. Step 6: Final answer
    x = 9,193.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.