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Finding the Fourth Proportional to 6,248.48, 9,368.03 and 3,782.70

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Solution

The fourth proportional to 6,248.48, 9,368.03 and 3,782.70 is: 5,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,248.48 : 9,368.03 = 3,782.70 : x
  2. Step 2: Convert to fraction form
    6,248.48/9,368.03 = 3,782.70/x
  3. Step 3: Cross multiply
    6,248.48x = 9,368.03 × 3,782.70
  4. Step 4: Simplify right side
    6,248.48x = 35,436,447.08
  5. Step 5: Solve for x
    x = 35,436,447.08/6,248.48
  6. Step 6: Final answer
    x = 5,671.22

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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.