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Finding the Fourth Proportional to 25,152.75, 37,729.13 and 6,684.75

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Solution

The fourth proportional to 25,152.75, 37,729.13 and 6,684.75 is: 10,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,152.75 : 37,729.13 = 6,684.75 : x
  2. Step 2: Convert to fraction form
    25,152.75/37,729.13 = 6,684.75/x
  3. Step 3: Cross multiply
    25,152.75x = 37,729.13 × 6,684.75
  4. Step 4: Simplify right side
    25,152.75x = 252,209,768.34
  5. Step 5: Solve for x
    x = 252,209,768.34/25,152.75
  6. Step 6: Final answer
    x = 10,027.13

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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.