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Finding the Fourth Proportional to 22,646.10, 33,982.38 and 9,497.37

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Solution

The fourth proportional to 22,646.10, 33,982.38 and 9,497.37 is: 14,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.10 : 33,982.38 = 9,497.37 : x
  2. Step 2: Convert to fraction form
    22,646.10/33,982.38 = 9,497.37/x
  3. Step 3: Cross multiply
    22,646.10x = 33,982.38 × 9,497.37
  4. Step 4: Simplify right side
    22,646.10x = 322,743,236.34
  5. Step 5: Solve for x
    x = 322,743,236.34/22,646.10
  6. Step 6: Final answer
    x = 14,251.60

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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.