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Finding the Fourth Proportional to 6,856.12, 10,278 and 2,470.52

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Solution

The fourth proportional to 6,856.12, 10,278 and 2,470.52 is: 3,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.12 : 10,278 = 2,470.52 : x
  2. Step 2: Convert to fraction form
    6,856.12/10,278 = 2,470.52/x
  3. Step 3: Cross multiply
    6,856.12x = 10,278 × 2,470.52
  4. Step 4: Simplify right side
    6,856.12x = 25,392,004.56
  5. Step 5: Solve for x
    x = 25,392,004.56/6,856.12
  6. Step 6: Final answer
    x = 3,703.55

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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.