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Finding the Fourth Proportional to 12,340, 17,029.44 and 6,751.12

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Solution

The fourth proportional to 12,340, 17,029.44 and 6,751.12 is: 9,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340 : 17,029.44 = 6,751.12 : x
  2. Step 2: Convert to fraction form
    12,340/17,029.44 = 6,751.12/x
  3. Step 3: Cross multiply
    12,340x = 17,029.44 × 6,751.12
  4. Step 4: Simplify right side
    12,340x = 114,967,792.97
  5. Step 5: Solve for x
    x = 114,967,792.97/12,340
  6. Step 6: Final answer
    x = 9,316.68

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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.