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Finding the Fourth Proportional to 6,863.53, 9,471.69 and 3,719.74

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Solution

The fourth proportional to 6,863.53, 9,471.69 and 3,719.74 is: 5,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.53 : 9,471.69 = 3,719.74 : x
  2. Step 2: Convert to fraction form
    6,863.53/9,471.69 = 3,719.74/x
  3. Step 3: Cross multiply
    6,863.53x = 9,471.69 × 3,719.74
  4. Step 4: Simplify right side
    6,863.53x = 35,232,224.16
  5. Step 5: Solve for x
    x = 35,232,224.16/6,863.53
  6. Step 6: Final answer
    x = 5,133.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.