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Finding the Fourth Proportional to 11,697.64, 17,551.92 and 6,771.42

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Solution

The fourth proportional to 11,697.64, 17,551.92 and 6,771.42 is: 10,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.64 : 17,551.92 = 6,771.42 : x
  2. Step 2: Convert to fraction form
    11,697.64/17,551.92 = 6,771.42/x
  3. Step 3: Cross multiply
    11,697.64x = 17,551.92 × 6,771.42
  4. Step 4: Simplify right side
    11,697.64x = 118,851,422.13
  5. Step 5: Solve for x
    x = 118,851,422.13/11,697.64
  6. Step 6: Final answer
    x = 10,160.29

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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.