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Finding the Fourth Proportional to 6,272.49, 9,445.38 and 4,640.52

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Solution

The fourth proportional to 6,272.49, 9,445.38 and 4,640.52 is: 6,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.49 : 9,445.38 = 4,640.52 : x
  2. Step 2: Convert to fraction form
    6,272.49/9,445.38 = 4,640.52/x
  3. Step 3: Cross multiply
    6,272.49x = 9,445.38 × 4,640.52
  4. Step 4: Simplify right side
    6,272.49x = 43,831,474.80
  5. Step 5: Solve for x
    x = 43,831,474.80/6,272.49
  6. Step 6: Final answer
    x = 6,987.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.