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Finding the Fourth Proportional to 6,979.80, 10,470 and 3,471.48

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Solution

The fourth proportional to 6,979.80, 10,470 and 3,471.48 is: 5,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,979.80 : 10,470 = 3,471.48 : x
  2. Step 2: Convert to fraction form
    6,979.80/10,470 = 3,471.48/x
  3. Step 3: Cross multiply
    6,979.80x = 10,470 × 3,471.48
  4. Step 4: Simplify right side
    6,979.80x = 36,346,395.60
  5. Step 5: Solve for x
    x = 36,346,395.60/6,979.80
  6. Step 6: Final answer
    x = 5,207.37

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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.