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Finding the Fourth Proportional to 6,966.90, 10,450.50 and 1,772.77

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Solution

The fourth proportional to 6,966.90, 10,450.50 and 1,772.77 is: 2,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.90 : 10,450.50 = 1,772.77 : x
  2. Step 2: Convert to fraction form
    6,966.90/10,450.50 = 1,772.77/x
  3. Step 3: Cross multiply
    6,966.90x = 10,450.50 × 1,772.77
  4. Step 4: Simplify right side
    6,966.90x = 18,526,332.89
  5. Step 5: Solve for x
    x = 18,526,332.89/6,966.90
  6. Step 6: Final answer
    x = 2,659.19

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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.