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Finding the Fourth Proportional to 10,674, 14,730.12 and 5,958.29

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Solution

The fourth proportional to 10,674, 14,730.12 and 5,958.29 is: 8,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674 : 14,730.12 = 5,958.29 : x
  2. Step 2: Convert to fraction form
    10,674/14,730.12 = 5,958.29/x
  3. Step 3: Cross multiply
    10,674x = 14,730.12 × 5,958.29
  4. Step 4: Simplify right side
    10,674x = 87,766,363.52
  5. Step 5: Solve for x
    x = 87,766,363.52/10,674
  6. Step 6: Final answer
    x = 8,222.44

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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.