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Finding the Fourth Proportional to 7,080.57, 9,771.20 and 3,936.75

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Solution

The fourth proportional to 7,080.57, 9,771.20 and 3,936.75 is: 5,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080.57 : 9,771.20 = 3,936.75 : x
  2. Step 2: Convert to fraction form
    7,080.57/9,771.20 = 3,936.75/x
  3. Step 3: Cross multiply
    7,080.57x = 9,771.20 × 3,936.75
  4. Step 4: Simplify right side
    7,080.57x = 38,466,751.92
  5. Step 5: Solve for x
    x = 38,466,751.92/7,080.57
  6. Step 6: Final answer
    x = 5,432.72

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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.