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Finding the Fourth Proportional to 6,105, 8,424.90 and 3,310.50

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Solution

The fourth proportional to 6,105, 8,424.90 and 3,310.50 is: 4,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105 : 8,424.90 = 3,310.50 : x
  2. Step 2: Convert to fraction form
    6,105/8,424.90 = 3,310.50/x
  3. Step 3: Cross multiply
    6,105x = 8,424.90 × 3,310.50
  4. Step 4: Simplify right side
    6,105x = 27,890,631.45
  5. Step 5: Solve for x
    x = 27,890,631.45/6,105
  6. Step 6: Final answer
    x = 4,568.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.