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Finding the Fourth Proportional to 9,249.80, 12,763.86 and 5,271.80

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Solution

The fourth proportional to 9,249.80, 12,763.86 and 5,271.80 is: 7,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.80 : 12,763.86 = 5,271.80 : x
  2. Step 2: Convert to fraction form
    9,249.80/12,763.86 = 5,271.80/x
  3. Step 3: Cross multiply
    9,249.80x = 12,763.86 × 5,271.80
  4. Step 4: Simplify right side
    9,249.80x = 67,288,517.15
  5. Step 5: Solve for x
    x = 67,288,517.15/9,249.80
  6. Step 6: Final answer
    x = 7,274.59

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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.