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Finding the Fourth Proportional to 21,674.63, 32,512.86 and 6,883.22

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Solution

The fourth proportional to 21,674.63, 32,512.86 and 6,883.22 is: 10,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.63 : 32,512.86 = 6,883.22 : x
  2. Step 2: Convert to fraction form
    21,674.63/32,512.86 = 6,883.22/x
  3. Step 3: Cross multiply
    21,674.63x = 32,512.86 × 6,883.22
  4. Step 4: Simplify right side
    21,674.63x = 223,793,005.64
  5. Step 5: Solve for x
    x = 223,793,005.64/21,674.63
  6. Step 6: Final answer
    x = 10,325.12

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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.