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Finding the Fourth Proportional to 15,677.92, 21,635.94 and 8,964.64

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Solution

The fourth proportional to 15,677.92, 21,635.94 and 8,964.64 is: 12,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.92 : 21,635.94 = 8,964.64 : x
  2. Step 2: Convert to fraction form
    15,677.92/21,635.94 = 8,964.64/x
  3. Step 3: Cross multiply
    15,677.92x = 21,635.94 × 8,964.64
  4. Step 4: Simplify right side
    15,677.92x = 193,958,413.16
  5. Step 5: Solve for x
    x = 193,958,413.16/15,677.92
  6. Step 6: Final answer
    x = 12,371.44

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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.