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Finding the Fourth Proportional to 6,700.65, 10,050.10 and 1,770.66

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Solution

The fourth proportional to 6,700.65, 10,050.10 and 1,770.66 is: 2,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.65 : 10,050.10 = 1,770.66 : x
  2. Step 2: Convert to fraction form
    6,700.65/10,050.10 = 1,770.66/x
  3. Step 3: Cross multiply
    6,700.65x = 10,050.10 × 1,770.66
  4. Step 4: Simplify right side
    6,700.65x = 17,795,310.07
  5. Step 5: Solve for x
    x = 17,795,310.07/6,700.65
  6. Step 6: Final answer
    x = 2,655.76

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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.