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Finding the Fourth Proportional to 6,137.60, 9,206.39 and 1,520.60

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Solution

The fourth proportional to 6,137.60, 9,206.39 and 1,520.60 is: 2,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.60 : 9,206.39 = 1,520.60 : x
  2. Step 2: Convert to fraction form
    6,137.60/9,206.39 = 1,520.60/x
  3. Step 3: Cross multiply
    6,137.60x = 9,206.39 × 1,520.60
  4. Step 4: Simplify right side
    6,137.60x = 13,999,194.40
  5. Step 5: Solve for x
    x = 13,999,194.40/6,137.60
  6. Step 6: Final answer
    x = 2,280.89

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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.