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Finding the Fourth Proportional to 6,425.26, 9,637.92 and 1,982.88

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Solution

The fourth proportional to 6,425.26, 9,637.92 and 1,982.88 is: 2,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.26 : 9,637.92 = 1,982.88 : x
  2. Step 2: Convert to fraction form
    6,425.26/9,637.92 = 1,982.88/x
  3. Step 3: Cross multiply
    6,425.26x = 9,637.92 × 1,982.88
  4. Step 4: Simplify right side
    6,425.26x = 19,110,838.81
  5. Step 5: Solve for x
    x = 19,110,838.81/6,425.26
  6. Step 6: Final answer
    x = 2,974.33

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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.