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Finding the Fourth Proportional to 6,102.59, 9,155.12 and 2,206.71

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Solution

The fourth proportional to 6,102.59, 9,155.12 and 2,206.71 is: 3,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.59 : 9,155.12 = 2,206.71 : x
  2. Step 2: Convert to fraction form
    6,102.59/9,155.12 = 2,206.71/x
  3. Step 3: Cross multiply
    6,102.59x = 9,155.12 × 2,206.71
  4. Step 4: Simplify right side
    6,102.59x = 20,202,683.82
  5. Step 5: Solve for x
    x = 20,202,683.82/6,102.59
  6. Step 6: Final answer
    x = 3,310.51

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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.