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Finding the Fourth Proportional to 22,646.89, 33,976.21 and 8,607.16

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Solution

The fourth proportional to 22,646.89, 33,976.21 and 8,607.16 is: 12,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.89 : 33,976.21 = 8,607.16 : x
  2. Step 2: Convert to fraction form
    22,646.89/33,976.21 = 8,607.16/x
  3. Step 3: Cross multiply
    22,646.89x = 33,976.21 × 8,607.16
  4. Step 4: Simplify right side
    22,646.89x = 292,438,569.21
  5. Step 5: Solve for x
    x = 292,438,569.21/22,646.89
  6. Step 6: Final answer
    x = 12,912.97

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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.