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Finding the Fourth Proportional to 7,272.80, 10,909.20 and 6,835.40

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Solution

The fourth proportional to 7,272.80, 10,909.20 and 6,835.40 is: 10,253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.80 : 10,909.20 = 6,835.40 : x
  2. Step 2: Convert to fraction form
    7,272.80/10,909.20 = 6,835.40/x
  3. Step 3: Cross multiply
    7,272.80x = 10,909.20 × 6,835.40
  4. Step 4: Simplify right side
    7,272.80x = 74,568,745.68
  5. Step 5: Solve for x
    x = 74,568,745.68/7,272.80
  6. Step 6: Final answer
    x = 10,253.10

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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.