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Finding the Fourth Proportional to 9,255.80, 12,772.14 and 5,277.80

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Solution

The fourth proportional to 9,255.80, 12,772.14 and 5,277.80 is: 7,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.80 : 12,772.14 = 5,277.80 : x
  2. Step 2: Convert to fraction form
    9,255.80/12,772.14 = 5,277.80/x
  3. Step 3: Cross multiply
    9,255.80x = 12,772.14 × 5,277.80
  4. Step 4: Simplify right side
    9,255.80x = 67,408,800.49
  5. Step 5: Solve for x
    x = 67,408,800.49/9,255.80
  6. Step 6: Final answer
    x = 7,282.87

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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.