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Finding the Fourth Proportional to 7,728.30, 11,592.36 and 1,884.96

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Solution

The fourth proportional to 7,728.30, 11,592.36 and 1,884.96 is: 2,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.30 : 11,592.36 = 1,884.96 : x
  2. Step 2: Convert to fraction form
    7,728.30/11,592.36 = 1,884.96/x
  3. Step 3: Cross multiply
    7,728.30x = 11,592.36 × 1,884.96
  4. Step 4: Simplify right side
    7,728.30x = 21,851,134.91
  5. Step 5: Solve for x
    x = 21,851,134.91/7,728.30
  6. Step 6: Final answer
    x = 2,827.42

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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.