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Finding the Fourth Proportional to 6,500, 9,750 and 1,883.04

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Solution

The fourth proportional to 6,500, 9,750 and 1,883.04 is: 2,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500 : 9,750 = 1,883.04 : x
  2. Step 2: Convert to fraction form
    6,500/9,750 = 1,883.04/x
  3. Step 3: Cross multiply
    6,500x = 9,750 × 1,883.04
  4. Step 4: Simplify right side
    6,500x = 18,359,640
  5. Step 5: Solve for x
    x = 18,359,640/6,500
  6. Step 6: Final answer
    x = 2,824.56

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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.