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Finding the Fourth Proportional to 11,632, 16,052.16 and 6,664.96

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Solution

The fourth proportional to 11,632, 16,052.16 and 6,664.96 is: 9,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632 : 16,052.16 = 6,664.96 : x
  2. Step 2: Convert to fraction form
    11,632/16,052.16 = 6,664.96/x
  3. Step 3: Cross multiply
    11,632x = 16,052.16 × 6,664.96
  4. Step 4: Simplify right side
    11,632x = 106,987,004.31
  5. Step 5: Solve for x
    x = 106,987,004.31/11,632
  6. Step 6: Final answer
    x = 9,197.64

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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.