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Finding the Fourth Proportional to 11,951.94, 16,493.24 and 6,574.34

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Solution

The fourth proportional to 11,951.94, 16,493.24 and 6,574.34 is: 9,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.94 : 16,493.24 = 6,574.34 : x
  2. Step 2: Convert to fraction form
    11,951.94/16,493.24 = 6,574.34/x
  3. Step 3: Cross multiply
    11,951.94x = 16,493.24 × 6,574.34
  4. Step 4: Simplify right side
    11,951.94x = 108,432,167.46
  5. Step 5: Solve for x
    x = 108,432,167.46/11,951.94
  6. Step 6: Final answer
    x = 9,072.35

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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.