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Finding the Fourth Proportional to 9,900.86, 14,852.02 and 3,327

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Solution

The fourth proportional to 9,900.86, 14,852.02 and 3,327 is: 4,990.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.86 : 14,852.02 = 3,327 : x
  2. Step 2: Convert to fraction form
    9,900.86/14,852.02 = 3,327/x
  3. Step 3: Cross multiply
    9,900.86x = 14,852.02 × 3,327
  4. Step 4: Simplify right side
    9,900.86x = 49,412,670.54
  5. Step 5: Solve for x
    x = 49,412,670.54/9,900.86
  6. Step 6: Final answer
    x = 4,990.75

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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.