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Finding the Fourth Proportional to 14,236.74, 19,644.87 and 7,949.38

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Solution

The fourth proportional to 14,236.74, 19,644.87 and 7,949.38 is: 10,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236.74 : 19,644.87 = 7,949.38 : x
  2. Step 2: Convert to fraction form
    14,236.74/19,644.87 = 7,949.38/x
  3. Step 3: Cross multiply
    14,236.74x = 19,644.87 × 7,949.38
  4. Step 4: Simplify right side
    14,236.74x = 156,164,536.68
  5. Step 5: Solve for x
    x = 156,164,536.68/14,236.74
  6. Step 6: Final answer
    x = 10,969.12

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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.