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Finding the Fourth Proportional to 12,614.96, 18,931.22 and 5,219.46

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Solution

The fourth proportional to 12,614.96, 18,931.22 and 5,219.46 is: 7,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.96 : 18,931.22 = 5,219.46 : x
  2. Step 2: Convert to fraction form
    12,614.96/18,931.22 = 5,219.46/x
  3. Step 3: Cross multiply
    12,614.96x = 18,931.22 × 5,219.46
  4. Step 4: Simplify right side
    12,614.96x = 98,810,732.88
  5. Step 5: Solve for x
    x = 98,810,732.88/12,614.96
  6. Step 6: Final answer
    x = 7,832.82

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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.