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Finding the Fourth Proportional to 12,257.22, 16,915.80 and 6,952.38

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Solution

The fourth proportional to 12,257.22, 16,915.80 and 6,952.38 is: 9,594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.22 : 16,915.80 = 6,952.38 : x
  2. Step 2: Convert to fraction form
    12,257.22/16,915.80 = 6,952.38/x
  3. Step 3: Cross multiply
    12,257.22x = 16,915.80 × 6,952.38
  4. Step 4: Simplify right side
    12,257.22x = 117,605,069.60
  5. Step 5: Solve for x
    x = 117,605,069.60/12,257.22
  6. Step 6: Final answer
    x = 9,594.76

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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.