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Finding the Fourth Proportional to 6,748.97, 10,174.84 and 6,273.29

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Solution

The fourth proportional to 6,748.97, 10,174.84 and 6,273.29 is: 9,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.97 : 10,174.84 = 6,273.29 : x
  2. Step 2: Convert to fraction form
    6,748.97/10,174.84 = 6,273.29/x
  3. Step 3: Cross multiply
    6,748.97x = 10,174.84 × 6,273.29
  4. Step 4: Simplify right side
    6,748.97x = 63,829,722.02
  5. Step 5: Solve for x
    x = 63,829,722.02/6,748.97
  6. Step 6: Final answer
    x = 9,457.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.