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Finding the Fourth Proportional to 10,069, 13,895.22 and 5,876.44

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Solution

The fourth proportional to 10,069, 13,895.22 and 5,876.44 is: 8,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069 : 13,895.22 = 5,876.44 : x
  2. Step 2: Convert to fraction form
    10,069/13,895.22 = 5,876.44/x
  3. Step 3: Cross multiply
    10,069x = 13,895.22 × 5,876.44
  4. Step 4: Simplify right side
    10,069x = 81,654,426.62
  5. Step 5: Solve for x
    x = 81,654,426.62/10,069
  6. Step 6: Final answer
    x = 8,109.49

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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.