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Finding the Fourth Proportional to 16,541.97, 24,813.93 and 4,694.82

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Solution

The fourth proportional to 16,541.97, 24,813.93 and 4,694.82 is: 7,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.97 : 24,813.93 = 4,694.82 : x
  2. Step 2: Convert to fraction form
    16,541.97/24,813.93 = 4,694.82/x
  3. Step 3: Cross multiply
    16,541.97x = 24,813.93 × 4,694.82
  4. Step 4: Simplify right side
    16,541.97x = 116,496,934.84
  5. Step 5: Solve for x
    x = 116,496,934.84/16,541.97
  6. Step 6: Final answer
    x = 7,042.51

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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.