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Finding the Fourth Proportional to 7,813.97, 11,714.53 and 3,651.92

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Solution

The fourth proportional to 7,813.97, 11,714.53 and 3,651.92 is: 5,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.97 : 11,714.53 = 3,651.92 : x
  2. Step 2: Convert to fraction form
    7,813.97/11,714.53 = 3,651.92/x
  3. Step 3: Cross multiply
    7,813.97x = 11,714.53 × 3,651.92
  4. Step 4: Simplify right side
    7,813.97x = 42,780,526.40
  5. Step 5: Solve for x
    x = 42,780,526.40/7,813.97
  6. Step 6: Final answer
    x = 5,474.88

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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.