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Finding the Fourth Proportional to 6,494.63, 9,744.53 and 2,112.13

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Solution

The fourth proportional to 6,494.63, 9,744.53 and 2,112.13 is: 3,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.63 : 9,744.53 = 2,112.13 : x
  2. Step 2: Convert to fraction form
    6,494.63/9,744.53 = 2,112.13/x
  3. Step 3: Cross multiply
    6,494.63x = 9,744.53 × 2,112.13
  4. Step 4: Simplify right side
    6,494.63x = 20,581,714.15
  5. Step 5: Solve for x
    x = 20,581,714.15/6,494.63
  6. Step 6: Final answer
    x = 3,169.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.