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Finding the Fourth Proportional to 18,414.50, 27,624.47 and 6,724.98

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Solution

The fourth proportional to 18,414.50, 27,624.47 and 6,724.98 is: 10,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414.50 : 27,624.47 = 6,724.98 : x
  2. Step 2: Convert to fraction form
    18,414.50/27,624.47 = 6,724.98/x
  3. Step 3: Cross multiply
    18,414.50x = 27,624.47 × 6,724.98
  4. Step 4: Simplify right side
    18,414.50x = 185,773,974.64
  5. Step 5: Solve for x
    x = 185,773,974.64/18,414.50
  6. Step 6: Final answer
    x = 10,088.46

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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.