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Finding the Fourth Proportional to 25,323.66, 37,982.10 and 6,605.06

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Solution

The fourth proportional to 25,323.66, 37,982.10 and 6,605.06 is: 9,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,323.66 : 37,982.10 = 6,605.06 : x
  2. Step 2: Convert to fraction form
    25,323.66/37,982.10 = 6,605.06/x
  3. Step 3: Cross multiply
    25,323.66x = 37,982.10 × 6,605.06
  4. Step 4: Simplify right side
    25,323.66x = 250,874,049.43
  5. Step 5: Solve for x
    x = 250,874,049.43/25,323.66
  6. Step 6: Final answer
    x = 9,906.71

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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.