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Finding the Fourth Proportional to 10,676.34, 14,729.45 and 6,696

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Solution

The fourth proportional to 10,676.34, 14,729.45 and 6,696 is: 9,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.34 : 14,729.45 = 6,696 : x
  2. Step 2: Convert to fraction form
    10,676.34/14,729.45 = 6,696/x
  3. Step 3: Cross multiply
    10,676.34x = 14,729.45 × 6,696
  4. Step 4: Simplify right side
    10,676.34x = 98,628,363.72
  5. Step 5: Solve for x
    x = 98,628,363.72/10,676.34
  6. Step 6: Final answer
    x = 9,238.03

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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.