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Finding the Fourth Proportional to 6,722.25, 10,087.02 and 3,259.50

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Solution

The fourth proportional to 6,722.25, 10,087.02 and 3,259.50 is: 4,891.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.25 : 10,087.02 = 3,259.50 : x
  2. Step 2: Convert to fraction form
    6,722.25/10,087.02 = 3,259.50/x
  3. Step 3: Cross multiply
    6,722.25x = 10,087.02 × 3,259.50
  4. Step 4: Simplify right side
    6,722.25x = 32,878,641.69
  5. Step 5: Solve for x
    x = 32,878,641.69/6,722.25
  6. Step 6: Final answer
    x = 4,891.02

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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.