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Finding the Fourth Proportional to 12,793.75, 17,655.51 and 7,204.75

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Solution

The fourth proportional to 12,793.75, 17,655.51 and 7,204.75 is: 9,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.75 : 17,655.51 = 7,204.75 : x
  2. Step 2: Convert to fraction form
    12,793.75/17,655.51 = 7,204.75/x
  3. Step 3: Cross multiply
    12,793.75x = 17,655.51 × 7,204.75
  4. Step 4: Simplify right side
    12,793.75x = 127,203,535.67
  5. Step 5: Solve for x
    x = 127,203,535.67/12,793.75
  6. Step 6: Final answer
    x = 9,942.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.