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Finding the Fourth Proportional to 12,191.60, 18,282 and 4,400.48

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Solution

The fourth proportional to 12,191.60, 18,282 and 4,400.48 is: 6,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.60 : 18,282 = 4,400.48 : x
  2. Step 2: Convert to fraction form
    12,191.60/18,282 = 4,400.48/x
  3. Step 3: Cross multiply
    12,191.60x = 18,282 × 4,400.48
  4. Step 4: Simplify right side
    12,191.60x = 80,449,575.36
  5. Step 5: Solve for x
    x = 80,449,575.36/12,191.60
  6. Step 6: Final answer
    x = 6,598.77

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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.