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Finding the Fourth Proportional to 10,863.81, 16,294.05 and 9,026.73

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Solution

The fourth proportional to 10,863.81, 16,294.05 and 9,026.73 is: 13,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.81 : 16,294.05 = 9,026.73 : x
  2. Step 2: Convert to fraction form
    10,863.81/16,294.05 = 9,026.73/x
  3. Step 3: Cross multiply
    10,863.81x = 16,294.05 × 9,026.73
  4. Step 4: Simplify right side
    10,863.81x = 147,081,989.96
  5. Step 5: Solve for x
    x = 147,081,989.96/10,863.81
  6. Step 6: Final answer
    x = 13,538.71

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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.