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Finding the Fourth Proportional to 22,318.96, 33,477.52 and 9,171

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Solution

The fourth proportional to 22,318.96, 33,477.52 and 9,171 is: 13,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,318.96 : 33,477.52 = 9,171 : x
  2. Step 2: Convert to fraction form
    22,318.96/33,477.52 = 9,171/x
  3. Step 3: Cross multiply
    22,318.96x = 33,477.52 × 9,171
  4. Step 4: Simplify right side
    22,318.96x = 307,022,335.92
  5. Step 5: Solve for x
    x = 307,022,335.92/22,318.96
  6. Step 6: Final answer
    x = 13,756.12

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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.