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Finding the Fourth Proportional to 16,279.40, 24,414.30 and 6,415.40

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Solution

The fourth proportional to 16,279.40, 24,414.30 and 6,415.40 is: 9,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.40 : 24,414.30 = 6,415.40 : x
  2. Step 2: Convert to fraction form
    16,279.40/24,414.30 = 6,415.40/x
  3. Step 3: Cross multiply
    16,279.40x = 24,414.30 × 6,415.40
  4. Step 4: Simplify right side
    16,279.40x = 156,627,500.22
  5. Step 5: Solve for x
    x = 156,627,500.22/16,279.40
  6. Step 6: Final answer
    x = 9,621.21

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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.