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Finding the Fourth Proportional to 8,474.88, 11,704.94 and 5,781.52

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Solution

The fourth proportional to 8,474.88, 11,704.94 and 5,781.52 is: 7,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.88 : 11,704.94 = 5,781.52 : x
  2. Step 2: Convert to fraction form
    8,474.88/11,704.94 = 5,781.52/x
  3. Step 3: Cross multiply
    8,474.88x = 11,704.94 × 5,781.52
  4. Step 4: Simplify right side
    8,474.88x = 67,672,344.71
  5. Step 5: Solve for x
    x = 67,672,344.71/8,474.88
  6. Step 6: Final answer
    x = 7,985.05

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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.