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Finding the Fourth Proportional to 6,892.30, 10,338.48 and 1,698.18

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Solution

The fourth proportional to 6,892.30, 10,338.48 and 1,698.18 is: 2,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.30 : 10,338.48 = 1,698.18 : x
  2. Step 2: Convert to fraction form
    6,892.30/10,338.48 = 1,698.18/x
  3. Step 3: Cross multiply
    6,892.30x = 10,338.48 × 1,698.18
  4. Step 4: Simplify right side
    6,892.30x = 17,556,599.97
  5. Step 5: Solve for x
    x = 17,556,599.97/6,892.30
  6. Step 6: Final answer
    x = 2,547.28

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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.