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Finding the Fourth Proportional to 24,511.12, 36,766.80 and 6,980.80

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Solution

The fourth proportional to 24,511.12, 36,766.80 and 6,980.80 is: 10,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.12 : 36,766.80 = 6,980.80 : x
  2. Step 2: Convert to fraction form
    24,511.12/36,766.80 = 6,980.80/x
  3. Step 3: Cross multiply
    24,511.12x = 36,766.80 × 6,980.80
  4. Step 4: Simplify right side
    24,511.12x = 256,661,677.44
  5. Step 5: Solve for x
    x = 256,661,677.44/24,511.12
  6. Step 6: Final answer
    x = 10,471.23

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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.