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Finding the Fourth Proportional to 7,697.76, 11,548.92 and 3,255.86

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Solution

The fourth proportional to 7,697.76, 11,548.92 and 3,255.86 is: 4,884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.76 : 11,548.92 = 3,255.86 : x
  2. Step 2: Convert to fraction form
    7,697.76/11,548.92 = 3,255.86/x
  3. Step 3: Cross multiply
    7,697.76x = 11,548.92 × 3,255.86
  4. Step 4: Simplify right side
    7,697.76x = 37,601,666.67
  5. Step 5: Solve for x
    x = 37,601,666.67/7,697.76
  6. Step 6: Final answer
    x = 4,884.75

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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.