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Finding the Fourth Proportional to 6,494.73, 8,962.49 and 3,662.19

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Solution

The fourth proportional to 6,494.73, 8,962.49 and 3,662.19 is: 5,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.73 : 8,962.49 = 3,662.19 : x
  2. Step 2: Convert to fraction form
    6,494.73/8,962.49 = 3,662.19/x
  3. Step 3: Cross multiply
    6,494.73x = 8,962.49 × 3,662.19
  4. Step 4: Simplify right side
    6,494.73x = 32,822,322.94
  5. Step 5: Solve for x
    x = 32,822,322.94/6,494.73
  6. Step 6: Final answer
    x = 5,053.69

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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.