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Finding the Fourth Proportional to 6,770.61, 10,159.56 and 6,750

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Solution

The fourth proportional to 6,770.61, 10,159.56 and 6,750 is: 10,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.61 : 10,159.56 = 6,750 : x
  2. Step 2: Convert to fraction form
    6,770.61/10,159.56 = 6,750/x
  3. Step 3: Cross multiply
    6,770.61x = 10,159.56 × 6,750
  4. Step 4: Simplify right side
    6,770.61x = 68,577,030
  5. Step 5: Solve for x
    x = 68,577,030/6,770.61
  6. Step 6: Final answer
    x = 10,128.63

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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.