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Finding the Fourth Proportional to 17,704.64, 26,563.12 and 7,850.86

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Solution

The fourth proportional to 17,704.64, 26,563.12 and 7,850.86 is: 11,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.64 : 26,563.12 = 7,850.86 : x
  2. Step 2: Convert to fraction form
    17,704.64/26,563.12 = 7,850.86/x
  3. Step 3: Cross multiply
    17,704.64x = 26,563.12 × 7,850.86
  4. Step 4: Simplify right side
    17,704.64x = 208,543,250.25
  5. Step 5: Solve for x
    x = 208,543,250.25/17,704.64
  6. Step 6: Final answer
    x = 11,779.02

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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.