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Finding the Fourth Proportional to 12,285.72, 16,954.25 and 6,982.25

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Solution

The fourth proportional to 12,285.72, 16,954.25 and 6,982.25 is: 9,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.72 : 16,954.25 = 6,982.25 : x
  2. Step 2: Convert to fraction form
    12,285.72/16,954.25 = 6,982.25/x
  3. Step 3: Cross multiply
    12,285.72x = 16,954.25 × 6,982.25
  4. Step 4: Simplify right side
    12,285.72x = 118,378,692.38
  5. Step 5: Solve for x
    x = 118,378,692.38/12,285.72
  6. Step 6: Final answer
    x = 9,635.47

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1.5x scale

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.