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Finding the Fourth Proportional to 23,606.49, 35,414.97 and 7,816.47

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Solution

The fourth proportional to 23,606.49, 35,414.97 and 7,816.47 is: 11,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,606.49 : 35,414.97 = 7,816.47 : x
  2. Step 2: Convert to fraction form
    23,606.49/35,414.97 = 7,816.47/x
  3. Step 3: Cross multiply
    23,606.49x = 35,414.97 × 7,816.47
  4. Step 4: Simplify right side
    23,606.49x = 276,820,050.56
  5. Step 5: Solve for x
    x = 276,820,050.56/23,606.49
  6. Step 6: Final answer
    x = 11,726.44

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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.