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Finding the Fourth Proportional to 6,527.68, 9,797.12 and 2,634.88

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Solution

The fourth proportional to 6,527.68, 9,797.12 and 2,634.88 is: 3,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.68 : 9,797.12 = 2,634.88 : x
  2. Step 2: Convert to fraction form
    6,527.68/9,797.12 = 2,634.88/x
  3. Step 3: Cross multiply
    6,527.68x = 9,797.12 × 2,634.88
  4. Step 4: Simplify right side
    6,527.68x = 25,814,235.55
  5. Step 5: Solve for x
    x = 25,814,235.55/6,527.68
  6. Step 6: Final answer
    x = 3,954.58

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1.5x scale

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.