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Finding the Fourth Proportional to 6,534.25, 9,803.04 and 1,917.25

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Solution

The fourth proportional to 6,534.25, 9,803.04 and 1,917.25 is: 2,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.25 : 9,803.04 = 1,917.25 : x
  2. Step 2: Convert to fraction form
    6,534.25/9,803.04 = 1,917.25/x
  3. Step 3: Cross multiply
    6,534.25x = 9,803.04 × 1,917.25
  4. Step 4: Simplify right side
    6,534.25x = 18,794,878.44
  5. Step 5: Solve for x
    x = 18,794,878.44/6,534.25
  6. Step 6: Final answer
    x = 2,876.36

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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.