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Finding the Fourth Proportional to 6,854.40, 10,279.14 and 2,470.68

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Solution

The fourth proportional to 6,854.40, 10,279.14 and 2,470.68 is: 3,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.40 : 10,279.14 = 2,470.68 : x
  2. Step 2: Convert to fraction form
    6,854.40/10,279.14 = 2,470.68/x
  3. Step 3: Cross multiply
    6,854.40x = 10,279.14 × 2,470.68
  4. Step 4: Simplify right side
    6,854.40x = 25,396,465.62
  5. Step 5: Solve for x
    x = 25,396,465.62/6,854.40
  6. Step 6: Final answer
    x = 3,705.13

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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.