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Finding the Fourth Proportional to 22,652.96, 33,974.04 and 9,505.58

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Solution

The fourth proportional to 22,652.96, 33,974.04 and 9,505.58 is: 14,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.96 : 33,974.04 = 9,505.58 : x
  2. Step 2: Convert to fraction form
    22,652.96/33,974.04 = 9,505.58/x
  3. Step 3: Cross multiply
    22,652.96x = 33,974.04 × 9,505.58
  4. Step 4: Simplify right side
    22,652.96x = 322,942,955.14
  5. Step 5: Solve for x
    x = 322,942,955.14/22,652.96
  6. Step 6: Final answer
    x = 14,256.10

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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.