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Finding the Fourth Proportional to 22,451.25, 33,672.34 and 7,652.14

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Solution

The fourth proportional to 22,451.25, 33,672.34 and 7,652.14 is: 11,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.25 : 33,672.34 = 7,652.14 : x
  2. Step 2: Convert to fraction form
    22,451.25/33,672.34 = 7,652.14/x
  3. Step 3: Cross multiply
    22,451.25x = 33,672.34 × 7,652.14
  4. Step 4: Simplify right side
    22,451.25x = 257,665,459.81
  5. Step 5: Solve for x
    x = 257,665,459.81/22,451.25
  6. Step 6: Final answer
    x = 11,476.66

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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.