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Finding the Fourth Proportional to 6,854.64, 10,275.81 and 2,471.07

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Solution

The fourth proportional to 6,854.64, 10,275.81 and 2,471.07 is: 3,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.64 : 10,275.81 = 2,471.07 : x
  2. Step 2: Convert to fraction form
    6,854.64/10,275.81 = 2,471.07/x
  3. Step 3: Cross multiply
    6,854.64x = 10,275.81 × 2,471.07
  4. Step 4: Simplify right side
    6,854.64x = 25,392,288.98
  5. Step 5: Solve for x
    x = 25,392,288.98/6,854.64
  6. Step 6: Final answer
    x = 3,704.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.