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Finding the Fourth Proportional to 6,450.66, 9,676.04 and 1,770.57

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Solution

The fourth proportional to 6,450.66, 9,676.04 and 1,770.57 is: 2,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.66 : 9,676.04 = 1,770.57 : x
  2. Step 2: Convert to fraction form
    6,450.66/9,676.04 = 1,770.57/x
  3. Step 3: Cross multiply
    6,450.66x = 9,676.04 × 1,770.57
  4. Step 4: Simplify right side
    6,450.66x = 17,132,097.29
  5. Step 5: Solve for x
    x = 17,132,097.29/6,450.66
  6. Step 6: Final answer
    x = 2,655.87

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1.5x scale

Why These Related Problems?

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