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Finding the Fourth Proportional to 10,676.14, 14,733.02 and 6,202.51

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Solution

The fourth proportional to 10,676.14, 14,733.02 and 6,202.51 is: 8,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.14 : 14,733.02 = 6,202.51 : x
  2. Step 2: Convert to fraction form
    10,676.14/14,733.02 = 6,202.51/x
  3. Step 3: Cross multiply
    10,676.14x = 14,733.02 × 6,202.51
  4. Step 4: Simplify right side
    10,676.14x = 91,381,682.55
  5. Step 5: Solve for x
    x = 91,381,682.55/10,676.14
  6. Step 6: Final answer
    x = 8,559.43

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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.