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Finding the Fourth Proportional to 6,773, 10,159.50 and 2,671.88

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Solution

The fourth proportional to 6,773, 10,159.50 and 2,671.88 is: 4,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773 : 10,159.50 = 2,671.88 : x
  2. Step 2: Convert to fraction form
    6,773/10,159.50 = 2,671.88/x
  3. Step 3: Cross multiply
    6,773x = 10,159.50 × 2,671.88
  4. Step 4: Simplify right side
    6,773x = 27,144,964.86
  5. Step 5: Solve for x
    x = 27,144,964.86/6,773
  6. Step 6: Final answer
    x = 4,007.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.