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Finding the Fourth Proportional to 6,873.76, 10,308.81 and 2,977.25

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Solution

The fourth proportional to 6,873.76, 10,308.81 and 2,977.25 is: 4,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.76 : 10,308.81 = 2,977.25 : x
  2. Step 2: Convert to fraction form
    6,873.76/10,308.81 = 2,977.25/x
  3. Step 3: Cross multiply
    6,873.76x = 10,308.81 × 2,977.25
  4. Step 4: Simplify right side
    6,873.76x = 30,691,904.57
  5. Step 5: Solve for x
    x = 30,691,904.57/6,873.76
  6. Step 6: Final answer
    x = 4,465.09

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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.