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Finding the Fourth Proportional to 22,462.50, 33,683.92 and 8,412.68

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Solution

The fourth proportional to 22,462.50, 33,683.92 and 8,412.68 is: 12,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.50 : 33,683.92 = 8,412.68 : x
  2. Step 2: Convert to fraction form
    22,462.50/33,683.92 = 8,412.68/x
  3. Step 3: Cross multiply
    22,462.50x = 33,683.92 × 8,412.68
  4. Step 4: Simplify right side
    22,462.50x = 283,371,913.81
  5. Step 5: Solve for x
    x = 283,371,913.81/22,462.50
  6. Step 6: Final answer
    x = 12,615.33

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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.