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Finding the Fourth Proportional to 14,661.22, 20,232.41 and 7,946.82

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Solution

The fourth proportional to 14,661.22, 20,232.41 and 7,946.82 is: 10,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.22 : 20,232.41 = 7,946.82 : x
  2. Step 2: Convert to fraction form
    14,661.22/20,232.41 = 7,946.82/x
  3. Step 3: Cross multiply
    14,661.22x = 20,232.41 × 7,946.82
  4. Step 4: Simplify right side
    14,661.22x = 160,783,320.44
  5. Step 5: Solve for x
    x = 160,783,320.44/14,661.22
  6. Step 6: Final answer
    x = 10,966.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.