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Finding the Fourth Proportional to 6,892.20, 10,338.24 and 1,698.12

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Solution

The fourth proportional to 6,892.20, 10,338.24 and 1,698.12 is: 2,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.20 : 10,338.24 = 1,698.12 : x
  2. Step 2: Convert to fraction form
    6,892.20/10,338.24 = 1,698.12/x
  3. Step 3: Cross multiply
    6,892.20x = 10,338.24 × 1,698.12
  4. Step 4: Simplify right side
    6,892.20x = 17,555,572.11
  5. Step 5: Solve for x
    x = 17,555,572.11/6,892.20
  6. Step 6: Final answer
    x = 2,547.17

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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.