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Finding the Fourth Proportional to 14,238.16, 19,649.87 and 7,951.75

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Solution

The fourth proportional to 14,238.16, 19,649.87 and 7,951.75 is: 10,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.16 : 19,649.87 = 7,951.75 : x
  2. Step 2: Convert to fraction form
    14,238.16/19,649.87 = 7,951.75/x
  3. Step 3: Cross multiply
    14,238.16x = 19,649.87 × 7,951.75
  4. Step 4: Simplify right side
    14,238.16x = 156,250,853.77
  5. Step 5: Solve for x
    x = 156,250,853.77/14,238.16
  6. Step 6: Final answer
    x = 10,974.09

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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.