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Finding the Fourth Proportional to 6,500.25, 9,752.00 and 1,883.25

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Solution

The fourth proportional to 6,500.25, 9,752.00 and 1,883.25 is: 2,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.25 : 9,752.00 = 1,883.25 : x
  2. Step 2: Convert to fraction form
    6,500.25/9,752.00 = 1,883.25/x
  3. Step 3: Cross multiply
    6,500.25x = 9,752.00 × 1,883.25
  4. Step 4: Simplify right side
    6,500.25x = 18,365,444.58
  5. Step 5: Solve for x
    x = 18,365,444.58/6,500.25
  6. Step 6: Final answer
    x = 2,825.34

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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.