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Finding the Fourth Proportional to 6,674.31, 10,011.47 and 6,268.34

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Solution

The fourth proportional to 6,674.31, 10,011.47 and 6,268.34 is: 9,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.31 : 10,011.47 = 6,268.34 : x
  2. Step 2: Convert to fraction form
    6,674.31/10,011.47 = 6,268.34/x
  3. Step 3: Cross multiply
    6,674.31x = 10,011.47 × 6,268.34
  4. Step 4: Simplify right side
    6,674.31x = 62,755,291.55
  5. Step 5: Solve for x
    x = 62,755,291.55/6,674.31
  6. Step 6: Final answer
    x = 9,402.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.