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Finding the Fourth Proportional to 14,238.67, 19,649.37 and 7,951.05

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Solution

The fourth proportional to 14,238.67, 19,649.37 and 7,951.05 is: 10,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.67 : 19,649.37 = 7,951.05 : x
  2. Step 2: Convert to fraction form
    14,238.67/19,649.37 = 7,951.05/x
  3. Step 3: Cross multiply
    14,238.67x = 19,649.37 × 7,951.05
  4. Step 4: Simplify right side
    14,238.67x = 156,232,985.34
  5. Step 5: Solve for x
    x = 156,232,985.34/14,238.67
  6. Step 6: Final answer
    x = 10,972.44

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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.