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Finding the Fourth Proportional to 10,863.50, 16,269.12 and 9,294.50

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Solution

The fourth proportional to 10,863.50, 16,269.12 and 9,294.50 is: 13,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.50 : 16,269.12 = 9,294.50 : x
  2. Step 2: Convert to fraction form
    10,863.50/16,269.12 = 9,294.50/x
  3. Step 3: Cross multiply
    10,863.50x = 16,269.12 × 9,294.50
  4. Step 4: Simplify right side
    10,863.50x = 151,213,335.84
  5. Step 5: Solve for x
    x = 151,213,335.84/10,863.50
  6. Step 6: Final answer
    x = 13,919.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.