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Finding the Fourth Proportional to 6,450.19, 9,673.68 and 1,770.22

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Solution

The fourth proportional to 6,450.19, 9,673.68 and 1,770.22 is: 2,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.19 : 9,673.68 = 1,770.22 : x
  2. Step 2: Convert to fraction form
    6,450.19/9,673.68 = 1,770.22/x
  3. Step 3: Cross multiply
    6,450.19x = 9,673.68 × 1,770.22
  4. Step 4: Simplify right side
    6,450.19x = 17,124,541.81
  5. Step 5: Solve for x
    x = 17,124,541.81/6,450.19
  6. Step 6: Final answer
    x = 2,654.89

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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.