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Finding the Fourth Proportional to 6,446, 8,899.77 and 4,951.25

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Solution

The fourth proportional to 6,446, 8,899.77 and 4,951.25 is: 6,836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446 : 8,899.77 = 4,951.25 : x
  2. Step 2: Convert to fraction form
    6,446/8,899.77 = 4,951.25/x
  3. Step 3: Cross multiply
    6,446x = 8,899.77 × 4,951.25
  4. Step 4: Simplify right side
    6,446x = 44,064,986.21
  5. Step 5: Solve for x
    x = 44,064,986.21/6,446
  6. Step 6: Final answer
    x = 6,836.02

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