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Finding the Fourth Proportional to 6,486.32, 8,949.94 and 3,653.09

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Solution

The fourth proportional to 6,486.32, 8,949.94 and 3,653.09 is: 5,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.32 : 8,949.94 = 3,653.09 : x
  2. Step 2: Convert to fraction form
    6,486.32/8,949.94 = 3,653.09/x
  3. Step 3: Cross multiply
    6,486.32x = 8,949.94 × 3,653.09
  4. Step 4: Simplify right side
    6,486.32x = 32,694,929.16
  5. Step 5: Solve for x
    x = 32,694,929.16/6,486.32
  6. Step 6: Final answer
    x = 5,040.59

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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.