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Finding the Fourth Proportional to 7,725.80, 11,592.30 and 5,781.80

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Solution

The fourth proportional to 7,725.80, 11,592.30 and 5,781.80 is: 8,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.80 : 11,592.30 = 5,781.80 : x
  2. Step 2: Convert to fraction form
    7,725.80/11,592.30 = 5,781.80/x
  3. Step 3: Cross multiply
    7,725.80x = 11,592.30 × 5,781.80
  4. Step 4: Simplify right side
    7,725.80x = 67,024,360.14
  5. Step 5: Solve for x
    x = 67,024,360.14/7,725.80
  6. Step 6: Final answer
    x = 8,675.39

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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.