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Finding the Fourth Proportional to 22,402.46, 33,580.22 and 8,356.83

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Solution

The fourth proportional to 22,402.46, 33,580.22 and 8,356.83 is: 12,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.46 : 33,580.22 = 8,356.83 : x
  2. Step 2: Convert to fraction form
    22,402.46/33,580.22 = 8,356.83/x
  3. Step 3: Cross multiply
    22,402.46x = 33,580.22 × 8,356.83
  4. Step 4: Simplify right side
    22,402.46x = 280,624,148.12
  5. Step 5: Solve for x
    x = 280,624,148.12/22,402.46
  6. Step 6: Final answer
    x = 12,526.49

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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.