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Finding the Fourth Proportional to 11,645.28, 16,063.08 and 7,664.96

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Solution

The fourth proportional to 11,645.28, 16,063.08 and 7,664.96 is: 10,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.28 : 16,063.08 = 7,664.96 : x
  2. Step 2: Convert to fraction form
    11,645.28/16,063.08 = 7,664.96/x
  3. Step 3: Cross multiply
    11,645.28x = 16,063.08 × 7,664.96
  4. Step 4: Simplify right side
    11,645.28x = 123,122,865.68
  5. Step 5: Solve for x
    x = 123,122,865.68/11,645.28
  6. Step 6: Final answer
    x = 10,572.77

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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.