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Finding the Fourth Proportional to 6,531.84, 9,793.65 and 2,831.25

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Solution

The fourth proportional to 6,531.84, 9,793.65 and 2,831.25 is: 4,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.84 : 9,793.65 = 2,831.25 : x
  2. Step 2: Convert to fraction form
    6,531.84/9,793.65 = 2,831.25/x
  3. Step 3: Cross multiply
    6,531.84x = 9,793.65 × 2,831.25
  4. Step 4: Simplify right side
    6,531.84x = 27,728,271.56
  5. Step 5: Solve for x
    x = 27,728,271.56/6,531.84
  6. Step 6: Final answer
    x = 4,245.09

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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.