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Finding the Fourth Proportional to 22,461.94, 33,683.07 and 8,412.11

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Solution

The fourth proportional to 22,461.94, 33,683.07 and 8,412.11 is: 12,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,461.94 : 33,683.07 = 8,412.11 : x
  2. Step 2: Convert to fraction form
    22,461.94/33,683.07 = 8,412.11/x
  3. Step 3: Cross multiply
    22,461.94x = 33,683.07 × 8,412.11
  4. Step 4: Simplify right side
    22,461.94x = 283,345,776.93
  5. Step 5: Solve for x
    x = 283,345,776.93/22,461.94
  6. Step 6: Final answer
    x = 12,614.49

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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.