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Finding the Fourth Proportional to 6,947.68, 10,422.84 and 2,565.48

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Solution

The fourth proportional to 6,947.68, 10,422.84 and 2,565.48 is: 3,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.68 : 10,422.84 = 2,565.48 : x
  2. Step 2: Convert to fraction form
    6,947.68/10,422.84 = 2,565.48/x
  3. Step 3: Cross multiply
    6,947.68x = 10,422.84 × 2,565.48
  4. Step 4: Simplify right side
    6,947.68x = 26,739,587.56
  5. Step 5: Solve for x
    x = 26,739,587.56/6,947.68
  6. Step 6: Final answer
    x = 3,848.71

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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.