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Finding the Fourth Proportional to 6,969.30, 10,454.01 and 1,775.17

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Solution

The fourth proportional to 6,969.30, 10,454.01 and 1,775.17 is: 2,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.30 : 10,454.01 = 1,775.17 : x
  2. Step 2: Convert to fraction form
    6,969.30/10,454.01 = 1,775.17/x
  3. Step 3: Cross multiply
    6,969.30x = 10,454.01 × 1,775.17
  4. Step 4: Simplify right side
    6,969.30x = 18,557,644.93
  5. Step 5: Solve for x
    x = 18,557,644.93/6,969.30
  6. Step 6: Final answer
    x = 2,662.77

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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.