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Finding the Fourth Proportional to 12,340, 17,029.13 and 6,674.71

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Solution

The fourth proportional to 12,340, 17,029.13 and 6,674.71 is: 9,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340 : 17,029.13 = 6,674.71 : x
  2. Step 2: Convert to fraction form
    12,340/17,029.13 = 6,674.71/x
  3. Step 3: Cross multiply
    12,340x = 17,029.13 × 6,674.71
  4. Step 4: Simplify right side
    12,340x = 113,664,504.30
  5. Step 5: Solve for x
    x = 113,664,504.30/12,340
  6. Step 6: Final answer
    x = 9,211.06

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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.