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Finding the Fourth Proportional to 12,426, 17,147.88 and 6,837

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Solution

The fourth proportional to 12,426, 17,147.88 and 6,837 is: 9,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426 : 17,147.88 = 6,837 : x
  2. Step 2: Convert to fraction form
    12,426/17,147.88 = 6,837/x
  3. Step 3: Cross multiply
    12,426x = 17,147.88 × 6,837
  4. Step 4: Simplify right side
    12,426x = 117,240,055.56
  5. Step 5: Solve for x
    x = 117,240,055.56/12,426
  6. Step 6: Final answer
    x = 9,435.06

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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.