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Finding the Fourth Proportional to 6,998.40, 10,478.16 and 3,528.36

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Solution

The fourth proportional to 6,998.40, 10,478.16 and 3,528.36 is: 5,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.40 : 10,478.16 = 3,528.36 : x
  2. Step 2: Convert to fraction form
    6,998.40/10,478.16 = 3,528.36/x
  3. Step 3: Cross multiply
    6,998.40x = 10,478.16 × 3,528.36
  4. Step 4: Simplify right side
    6,998.40x = 36,970,720.62
  5. Step 5: Solve for x
    x = 36,970,720.62/6,998.40
  6. Step 6: Final answer
    x = 5,282.74

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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.