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Finding the Fourth Proportional to 24,928.28, 37,378.40 and 8,279.40

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Solution

The fourth proportional to 24,928.28, 37,378.40 and 8,279.40 is: 12,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,928.28 : 37,378.40 = 8,279.40 : x
  2. Step 2: Convert to fraction form
    24,928.28/37,378.40 = 8,279.40/x
  3. Step 3: Cross multiply
    24,928.28x = 37,378.40 × 8,279.40
  4. Step 4: Simplify right side
    24,928.28x = 309,470,724.96
  5. Step 5: Solve for x
    x = 309,470,724.96/24,928.28
  6. Step 6: Final answer
    x = 12,414.44

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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.