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Finding the Fourth Proportional to 9,882.92, 14,824.41 and 3,640.23

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Solution

The fourth proportional to 9,882.92, 14,824.41 and 3,640.23 is: 5,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.92 : 14,824.41 = 3,640.23 : x
  2. Step 2: Convert to fraction form
    9,882.92/14,824.41 = 3,640.23/x
  3. Step 3: Cross multiply
    9,882.92x = 14,824.41 × 3,640.23
  4. Step 4: Simplify right side
    9,882.92x = 53,964,262.01
  5. Step 5: Solve for x
    x = 53,964,262.01/9,882.92
  6. Step 6: Final answer
    x = 5,460.36

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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.