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Finding the Fourth Proportional to 6,155.60, 9,231.60 and 2,206.40

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Solution

The fourth proportional to 6,155.60, 9,231.60 and 2,206.40 is: 3,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.60 : 9,231.60 = 2,206.40 : x
  2. Step 2: Convert to fraction form
    6,155.60/9,231.60 = 2,206.40/x
  3. Step 3: Cross multiply
    6,155.60x = 9,231.60 × 2,206.40
  4. Step 4: Simplify right side
    6,155.60x = 20,368,602.24
  5. Step 5: Solve for x
    x = 20,368,602.24/6,155.60
  6. Step 6: Final answer
    x = 3,308.95

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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.