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Finding the Fourth Proportional to 6,527.06, 9,797.88 and 2,634.20

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Solution

The fourth proportional to 6,527.06, 9,797.88 and 2,634.20 is: 3,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.06 : 9,797.88 = 2,634.20 : x
  2. Step 2: Convert to fraction form
    6,527.06/9,797.88 = 2,634.20/x
  3. Step 3: Cross multiply
    6,527.06x = 9,797.88 × 2,634.20
  4. Step 4: Simplify right side
    6,527.06x = 25,809,575.50
  5. Step 5: Solve for x
    x = 25,809,575.50/6,527.06
  6. Step 6: Final answer
    x = 3,954.24

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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.