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Finding the Fourth Proportional to 6,105.84, 8,425.62 and 3,453.48

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Solution

The fourth proportional to 6,105.84, 8,425.62 and 3,453.48 is: 4,765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.84 : 8,425.62 = 3,453.48 : x
  2. Step 2: Convert to fraction form
    6,105.84/8,425.62 = 3,453.48/x
  3. Step 3: Cross multiply
    6,105.84x = 8,425.62 × 3,453.48
  4. Step 4: Simplify right side
    6,105.84x = 29,097,710.16
  5. Step 5: Solve for x
    x = 29,097,710.16/6,105.84
  6. Step 6: Final answer
    x = 4,765.55

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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.