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Finding the Fourth Proportional to 6,969, 10,452.66 and 1,774.92

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Solution

The fourth proportional to 6,969, 10,452.66 and 1,774.92 is: 2,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969 : 10,452.66 = 1,774.92 : x
  2. Step 2: Convert to fraction form
    6,969/10,452.66 = 1,774.92/x
  3. Step 3: Cross multiply
    6,969x = 10,452.66 × 1,774.92
  4. Step 4: Simplify right side
    6,969x = 18,552,635.29
  5. Step 5: Solve for x
    x = 18,552,635.29/6,969
  6. Step 6: Final answer
    x = 2,662.17

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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.