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Finding the Fourth Proportional to 25,156.77, 37,738.46 and 8,284.20

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Solution

The fourth proportional to 25,156.77, 37,738.46 and 8,284.20 is: 12,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,156.77 : 37,738.46 = 8,284.20 : x
  2. Step 2: Convert to fraction form
    25,156.77/37,738.46 = 8,284.20/x
  3. Step 3: Cross multiply
    25,156.77x = 37,738.46 × 8,284.20
  4. Step 4: Simplify right side
    25,156.77x = 312,632,950.33
  5. Step 5: Solve for x
    x = 312,632,950.33/25,156.77
  6. Step 6: Final answer
    x = 12,427.39

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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.