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Finding the Fourth Proportional to 17,213.68, 25,820.52 and 6,823

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Solution

The fourth proportional to 17,213.68, 25,820.52 and 6,823 is: 10,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.68 : 25,820.52 = 6,823 : x
  2. Step 2: Convert to fraction form
    17,213.68/25,820.52 = 6,823/x
  3. Step 3: Cross multiply
    17,213.68x = 25,820.52 × 6,823
  4. Step 4: Simplify right side
    17,213.68x = 176,173,407.96
  5. Step 5: Solve for x
    x = 176,173,407.96/17,213.68
  6. Step 6: Final answer
    x = 10,234.50

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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.