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Finding the Fourth Proportional to 33,772.92, 50,655.54 and 9,147

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Solution

The fourth proportional to 33,772.92, 50,655.54 and 9,147 is: 13,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,772.92 : 50,655.54 = 9,147 : x
  2. Step 2: Convert to fraction form
    33,772.92/50,655.54 = 9,147/x
  3. Step 3: Cross multiply
    33,772.92x = 50,655.54 × 9,147
  4. Step 4: Simplify right side
    33,772.92x = 463,346,224.38
  5. Step 5: Solve for x
    x = 463,346,224.38/33,772.92
  6. Step 6: Final answer
    x = 13,719.46

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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.