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Finding the Fourth Proportional to 12,496.50, 17,245.19 and 6,907.50

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Solution

The fourth proportional to 12,496.50, 17,245.19 and 6,907.50 is: 9,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.50 : 17,245.19 = 6,907.50 : x
  2. Step 2: Convert to fraction form
    12,496.50/17,245.19 = 6,907.50/x
  3. Step 3: Cross multiply
    12,496.50x = 17,245.19 × 6,907.50
  4. Step 4: Simplify right side
    12,496.50x = 119,121,149.93
  5. Step 5: Solve for x
    x = 119,121,149.93/12,496.50
  6. Step 6: Final answer
    x = 9,532.36

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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.