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Finding the Fourth Proportional to 6,248.28, 9,372.06 and 1,865.82

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Solution

The fourth proportional to 6,248.28, 9,372.06 and 1,865.82 is: 2,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,248.28 : 9,372.06 = 1,865.82 : x
  2. Step 2: Convert to fraction form
    6,248.28/9,372.06 = 1,865.82/x
  3. Step 3: Cross multiply
    6,248.28x = 9,372.06 × 1,865.82
  4. Step 4: Simplify right side
    6,248.28x = 17,486,576.99
  5. Step 5: Solve for x
    x = 17,486,576.99/6,248.28
  6. Step 6: Final answer
    x = 2,798.62

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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.