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Finding the Fourth Proportional to 11,707.68, 16,157.04 and 6,672.68

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Solution

The fourth proportional to 11,707.68, 16,157.04 and 6,672.68 is: 9,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.68 : 16,157.04 = 6,672.68 : x
  2. Step 2: Convert to fraction form
    11,707.68/16,157.04 = 6,672.68/x
  3. Step 3: Cross multiply
    11,707.68x = 16,157.04 × 6,672.68
  4. Step 4: Simplify right side
    11,707.68x = 107,810,676.88
  5. Step 5: Solve for x
    x = 107,810,676.88/11,707.68
  6. Step 6: Final answer
    x = 9,208.54

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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.