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Finding the Fourth Proportional to 6,417, 8,854.98 and 3,622.44

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Solution

The fourth proportional to 6,417, 8,854.98 and 3,622.44 is: 4,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417 : 8,854.98 = 3,622.44 : x
  2. Step 2: Convert to fraction form
    6,417/8,854.98 = 3,622.44/x
  3. Step 3: Cross multiply
    6,417x = 8,854.98 × 3,622.44
  4. Step 4: Simplify right side
    6,417x = 32,076,633.75
  5. Step 5: Solve for x
    x = 32,076,633.75/6,417
  6. Step 6: Final answer
    x = 4,998.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.