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Finding the Fourth Proportional to 24,671.25, 37,006.88 and 8,255.25

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Solution

The fourth proportional to 24,671.25, 37,006.88 and 8,255.25 is: 12,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.25 : 37,006.88 = 8,255.25 : x
  2. Step 2: Convert to fraction form
    24,671.25/37,006.88 = 8,255.25/x
  3. Step 3: Cross multiply
    24,671.25x = 37,006.88 × 8,255.25
  4. Step 4: Simplify right side
    24,671.25x = 305,501,004.84
  5. Step 5: Solve for x
    x = 305,501,004.84/24,671.25
  6. Step 6: Final answer
    x = 12,382.88

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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.