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Finding the Fourth Proportional to 25,049.45, 37,578.50 and 8,411.09

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Solution

The fourth proportional to 25,049.45, 37,578.50 and 8,411.09 is: 12,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049.45 : 37,578.50 = 8,411.09 : x
  2. Step 2: Convert to fraction form
    25,049.45/37,578.50 = 8,411.09/x
  3. Step 3: Cross multiply
    25,049.45x = 37,578.50 × 8,411.09
  4. Step 4: Simplify right side
    25,049.45x = 316,076,072.65
  5. Step 5: Solve for x
    x = 316,076,072.65/25,049.45
  6. Step 6: Final answer
    x = 12,618.08

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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.