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Finding the Fourth Proportional to 25,614.66, 38,428.83 and 8,084.82

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Solution

The fourth proportional to 25,614.66, 38,428.83 and 8,084.82 is: 12,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.66 : 38,428.83 = 8,084.82 : x
  2. Step 2: Convert to fraction form
    25,614.66/38,428.83 = 8,084.82/x
  3. Step 3: Cross multiply
    25,614.66x = 38,428.83 × 8,084.82
  4. Step 4: Simplify right side
    25,614.66x = 310,690,173.36
  5. Step 5: Solve for x
    x = 310,690,173.36/25,614.66
  6. Step 6: Final answer
    x = 12,129.39

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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.