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Finding the Fourth Proportional to 24,948.20, 37,414.20 and 8,305.40

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Solution

The fourth proportional to 24,948.20, 37,414.20 and 8,305.40 is: 12,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948.20 : 37,414.20 = 8,305.40 : x
  2. Step 2: Convert to fraction form
    24,948.20/37,414.20 = 8,305.40/x
  3. Step 3: Cross multiply
    24,948.20x = 37,414.20 × 8,305.40
  4. Step 4: Simplify right side
    24,948.20x = 310,739,896.68
  5. Step 5: Solve for x
    x = 310,739,896.68/24,948.20
  6. Step 6: Final answer
    x = 12,455.40

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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.