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Finding the Fourth Proportional to 21,674.46, 32,512.82 and 6,884.54

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Solution

The fourth proportional to 21,674.46, 32,512.82 and 6,884.54 is: 10,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.46 : 32,512.82 = 6,884.54 : x
  2. Step 2: Convert to fraction form
    21,674.46/32,512.82 = 6,884.54/x
  3. Step 3: Cross multiply
    21,674.46x = 32,512.82 × 6,884.54
  4. Step 4: Simplify right side
    21,674.46x = 223,835,612.82
  5. Step 5: Solve for x
    x = 223,835,612.82/21,674.46
  6. Step 6: Final answer
    x = 10,327.16

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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.