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Finding the Fourth Proportional to 12,748.80, 17,593.20 and 7,780.80

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Solution

The fourth proportional to 12,748.80, 17,593.20 and 7,780.80 is: 10,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748.80 : 17,593.20 = 7,780.80 : x
  2. Step 2: Convert to fraction form
    12,748.80/17,593.20 = 7,780.80/x
  3. Step 3: Cross multiply
    12,748.80x = 17,593.20 × 7,780.80
  4. Step 4: Simplify right side
    12,748.80x = 136,889,170.56
  5. Step 5: Solve for x
    x = 136,889,170.56/12,748.80
  6. Step 6: Final answer
    x = 10,737.42

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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.