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Finding the Fourth Proportional to 11,604.57, 16,014.31 and 6,827.69

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Solution

The fourth proportional to 11,604.57, 16,014.31 and 6,827.69 is: 9,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.57 : 16,014.31 = 6,827.69 : x
  2. Step 2: Convert to fraction form
    11,604.57/16,014.31 = 6,827.69/x
  3. Step 3: Cross multiply
    11,604.57x = 16,014.31 × 6,827.69
  4. Step 4: Simplify right side
    11,604.57x = 109,340,767.21
  5. Step 5: Solve for x
    x = 109,340,767.21/11,604.57
  6. Step 6: Final answer
    x = 9,422.22

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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.