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Finding the Fourth Proportional to 25,047.63, 37,571.85 and 8,407.80

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Solution

The fourth proportional to 25,047.63, 37,571.85 and 8,407.80 is: 12,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,047.63 : 37,571.85 = 8,407.80 : x
  2. Step 2: Convert to fraction form
    25,047.63/37,571.85 = 8,407.80/x
  3. Step 3: Cross multiply
    25,047.63x = 37,571.85 × 8,407.80
  4. Step 4: Simplify right side
    25,047.63x = 315,896,600.43
  5. Step 5: Solve for x
    x = 315,896,600.43/25,047.63
  6. Step 6: Final answer
    x = 12,611.84

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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.