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Finding the Fourth Proportional to 8,422.83, 12,634.20 and 6,575.50

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Solution

The fourth proportional to 8,422.83, 12,634.20 and 6,575.50 is: 9,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.83 : 12,634.20 = 6,575.50 : x
  2. Step 2: Convert to fraction form
    8,422.83/12,634.20 = 6,575.50/x
  3. Step 3: Cross multiply
    8,422.83x = 12,634.20 × 6,575.50
  4. Step 4: Simplify right side
    8,422.83x = 83,076,182.10
  5. Step 5: Solve for x
    x = 83,076,182.10/8,422.83
  6. Step 6: Final answer
    x = 9,863.21

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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.