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Finding the Fourth Proportional to 12,485, 17,229.48 and 6,896

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Solution

The fourth proportional to 12,485, 17,229.48 and 6,896 is: 9,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485 : 17,229.48 = 6,896 : x
  2. Step 2: Convert to fraction form
    12,485/17,229.48 = 6,896/x
  3. Step 3: Cross multiply
    12,485x = 17,229.48 × 6,896
  4. Step 4: Simplify right side
    12,485x = 118,814,494.08
  5. Step 5: Solve for x
    x = 118,814,494.08/12,485
  6. Step 6: Final answer
    x = 9,516.58

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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.