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Finding the Fourth Proportional to 6,329.73, 8,736.10 and 3,678.68

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Solution

The fourth proportional to 6,329.73, 8,736.10 and 3,678.68 is: 5,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.73 : 8,736.10 = 3,678.68 : x
  2. Step 2: Convert to fraction form
    6,329.73/8,736.10 = 3,678.68/x
  3. Step 3: Cross multiply
    6,329.73x = 8,736.10 × 3,678.68
  4. Step 4: Simplify right side
    6,329.73x = 32,137,289.55
  5. Step 5: Solve for x
    x = 32,137,289.55/6,329.73
  6. Step 6: Final answer
    x = 5,077.20

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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.