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Finding the Fourth Proportional to 13,847, 19,108.94 and 7,559.44

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Solution

The fourth proportional to 13,847, 19,108.94 and 7,559.44 is: 10,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847 : 19,108.94 = 7,559.44 : x
  2. Step 2: Convert to fraction form
    13,847/19,108.94 = 7,559.44/x
  3. Step 3: Cross multiply
    13,847x = 19,108.94 × 7,559.44
  4. Step 4: Simplify right side
    13,847x = 144,452,885.39
  5. Step 5: Solve for x
    x = 144,452,885.39/13,847
  6. Step 6: Final answer
    x = 10,432.07

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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.