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Finding the Fourth Proportional to 16,126, 24,189 and 5,737.78

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Solution

The fourth proportional to 16,126, 24,189 and 5,737.78 is: 8,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126 : 24,189 = 5,737.78 : x
  2. Step 2: Convert to fraction form
    16,126/24,189 = 5,737.78/x
  3. Step 3: Cross multiply
    16,126x = 24,189 × 5,737.78
  4. Step 4: Simplify right side
    16,126x = 138,791,160.42
  5. Step 5: Solve for x
    x = 138,791,160.42/16,126
  6. Step 6: Final answer
    x = 8,606.67

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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.