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Finding the Fourth Proportional to 6,248.50, 9,368.08 and 3,782.73

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Solution

The fourth proportional to 6,248.50, 9,368.08 and 3,782.73 is: 5,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,248.50 : 9,368.08 = 3,782.73 : x
  2. Step 2: Convert to fraction form
    6,248.50/9,368.08 = 3,782.73/x
  3. Step 3: Cross multiply
    6,248.50x = 9,368.08 × 3,782.73
  4. Step 4: Simplify right side
    6,248.50x = 35,436,886.86
  5. Step 5: Solve for x
    x = 35,436,886.86/6,248.50
  6. Step 6: Final answer
    x = 5,671.26

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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.