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Finding the Fourth Proportional to 6,251.61, 9,376.70 and 1,634.97

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Solution

The fourth proportional to 6,251.61, 9,376.70 and 1,634.97 is: 2,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.61 : 9,376.70 = 1,634.97 : x
  2. Step 2: Convert to fraction form
    6,251.61/9,376.70 = 1,634.97/x
  3. Step 3: Cross multiply
    6,251.61x = 9,376.70 × 1,634.97
  4. Step 4: Simplify right side
    6,251.61x = 15,330,615.02
  5. Step 5: Solve for x
    x = 15,330,615.02/6,251.61
  6. Step 6: Final answer
    x = 2,452.27

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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.