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Finding the Fourth Proportional to 9,850.74, 14,772.93 and 3,275.16

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Solution

The fourth proportional to 9,850.74, 14,772.93 and 3,275.16 is: 4,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.74 : 14,772.93 = 3,275.16 : x
  2. Step 2: Convert to fraction form
    9,850.74/14,772.93 = 3,275.16/x
  3. Step 3: Cross multiply
    9,850.74x = 14,772.93 × 3,275.16
  4. Step 4: Simplify right side
    9,850.74x = 48,383,709.42
  5. Step 5: Solve for x
    x = 48,383,709.42/9,850.74
  6. Step 6: Final answer
    x = 4,911.68

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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.