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Finding the Fourth Proportional to 11,713.72, 16,165 and 6,609.28

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Solution

The fourth proportional to 11,713.72, 16,165 and 6,609.28 is: 9,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.72 : 16,165 = 6,609.28 : x
  2. Step 2: Convert to fraction form
    11,713.72/16,165 = 6,609.28/x
  3. Step 3: Cross multiply
    11,713.72x = 16,165 × 6,609.28
  4. Step 4: Simplify right side
    11,713.72x = 106,839,011.20
  5. Step 5: Solve for x
    x = 106,839,011.20/11,713.72
  6. Step 6: Final answer
    x = 9,120.84

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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.