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Finding the Fourth Proportional to 6,854.40, 10,275.36 and 2,470.86

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Solution

The fourth proportional to 6,854.40, 10,275.36 and 2,470.86 is: 3,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.40 : 10,275.36 = 2,470.86 : x
  2. Step 2: Convert to fraction form
    6,854.40/10,275.36 = 2,470.86/x
  3. Step 3: Cross multiply
    6,854.40x = 10,275.36 × 2,470.86
  4. Step 4: Simplify right side
    6,854.40x = 25,388,976.01
  5. Step 5: Solve for x
    x = 25,388,976.01/6,854.40
  6. Step 6: Final answer
    x = 3,704.04

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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.