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Finding the Fourth Proportional to 6,137.20, 9,205.80 and 1,520.20

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Solution

The fourth proportional to 6,137.20, 9,205.80 and 1,520.20 is: 2,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.20 : 9,205.80 = 1,520.20 : x
  2. Step 2: Convert to fraction form
    6,137.20/9,205.80 = 1,520.20/x
  3. Step 3: Cross multiply
    6,137.20x = 9,205.80 × 1,520.20
  4. Step 4: Simplify right side
    6,137.20x = 13,994,657.16
  5. Step 5: Solve for x
    x = 13,994,657.16/6,137.20
  6. Step 6: Final answer
    x = 2,280.30

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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.