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Finding the Fourth Proportional to 12,157.41, 16,777.22 and 6,568.41

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Solution

The fourth proportional to 12,157.41, 16,777.22 and 6,568.41 is: 9,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.41 : 16,777.22 = 6,568.41 : x
  2. Step 2: Convert to fraction form
    12,157.41/16,777.22 = 6,568.41/x
  3. Step 3: Cross multiply
    12,157.41x = 16,777.22 × 6,568.41
  4. Step 4: Simplify right side
    12,157.41x = 110,199,676.04
  5. Step 5: Solve for x
    x = 110,199,676.04/12,157.41
  6. Step 6: Final answer
    x = 9,064.40

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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.