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Finding the Fourth Proportional to 12,544, 17,310.82 and 6,955

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Solution

The fourth proportional to 12,544, 17,310.82 and 6,955 is: 9,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544 : 17,310.82 = 6,955 : x
  2. Step 2: Convert to fraction form
    12,544/17,310.82 = 6,955/x
  3. Step 3: Cross multiply
    12,544x = 17,310.82 × 6,955
  4. Step 4: Simplify right side
    12,544x = 120,396,753.10
  5. Step 5: Solve for x
    x = 120,396,753.10/12,544
  6. Step 6: Final answer
    x = 9,597.96

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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.