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Finding the Fourth Proportional to 24,973.43, 37,446.81 and 10,917

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Solution

The fourth proportional to 24,973.43, 37,446.81 and 10,917 is: 16,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973.43 : 37,446.81 = 10,917 : x
  2. Step 2: Convert to fraction form
    24,973.43/37,446.81 = 10,917/x
  3. Step 3: Cross multiply
    24,973.43x = 37,446.81 × 10,917
  4. Step 4: Simplify right side
    24,973.43x = 408,806,824.77
  5. Step 5: Solve for x
    x = 408,806,824.77/24,973.43
  6. Step 6: Final answer
    x = 16,369.67

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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.