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Finding the Fourth Proportional to 23,867, 35,817 and 8,284.64

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Solution

The fourth proportional to 23,867, 35,817 and 8,284.64 is: 12,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,867 : 35,817 = 8,284.64 : x
  2. Step 2: Convert to fraction form
    23,867/35,817 = 8,284.64/x
  3. Step 3: Cross multiply
    23,867x = 35,817 × 8,284.64
  4. Step 4: Simplify right side
    23,867x = 296,730,950.88
  5. Step 5: Solve for x
    x = 296,730,950.88/23,867
  6. Step 6: Final answer
    x = 12,432.69

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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.