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Finding the Fourth Proportional to 11,754.94, 17,632.47 and 4,738.18

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Solution

The fourth proportional to 11,754.94, 17,632.47 and 4,738.18 is: 7,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.94 : 17,632.47 = 4,738.18 : x
  2. Step 2: Convert to fraction form
    11,754.94/17,632.47 = 4,738.18/x
  3. Step 3: Cross multiply
    11,754.94x = 17,632.47 × 4,738.18
  4. Step 4: Simplify right side
    11,754.94x = 83,545,728.54
  5. Step 5: Solve for x
    x = 83,545,728.54/11,754.94
  6. Step 6: Final answer
    x = 7,107.29

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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.