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Finding the Fourth Proportional to 25,152, 37,733.40 and 8,512.44

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Solution

The fourth proportional to 25,152, 37,733.40 and 8,512.44 is: 12,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,152 : 37,733.40 = 8,512.44 : x
  2. Step 2: Convert to fraction form
    25,152/37,733.40 = 8,512.44/x
  3. Step 3: Cross multiply
    25,152x = 37,733.40 × 8,512.44
  4. Step 4: Simplify right side
    25,152x = 321,203,303.50
  5. Step 5: Solve for x
    x = 321,203,303.50/25,152
  6. Step 6: Final answer
    x = 12,770.49

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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.